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Paper Citation Record · LEDGER

Trimaximal TM$_1$ mixing with two modular $S_4$ groups

As of 20 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 10 inbound Pith citation observations for arXiv:1908.02770.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02770 v3

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:56:00.966071Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:54.728498Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T16:27:21.715422Z

Reference resolution

69 of 69 outbound references displayed

  • verified exact9
  • verified fuzzy2
  • unresolved49
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch6

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed2f1d6a-ecec-49a6-8229-3d068e8780a1 · outbound

This paper cites Minkowski, Phys.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Minkowski, Phys

Reference 1

Resolution
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no resolver link, observed 2026-08-14T14:56:00.538735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.538735Z digest=sha256:760f5d324d2fd0980658b1e90d005aae910a9b661f89406a2645cbef9fcc85b9

Observation 69ab95da-5ef1-4e7b-a211-c2e6761ec92a · outbound

This paper cites Yanagida, In Proceedings of the Workshop on Unified Theory and the Baryon Number of the Universe , edited by O.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Yanagida, In Proceedings of the Workshop on Unified Theory and the Baryon Number of the Universe , edited by O

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:02.329971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.544062Z digest=sha256:c16fff674c9ae720da82483bea0c020caa96d9fc7f3412c5dfbc8c3e7a5c5172

Observation 5d3d4720-7879-448c-8074-c8eeece2500c · outbound

This paper cites Gell-Mann, P.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Gell-Mann, P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:02.311235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.549736Z digest=sha256:5bfac4b2e70ae143fba667e34235f0bbf6703a3b6dca1af94d2336eb75e9e8ed

Observation 8dfcbf3a-1389-4b90-b8fa-9c22acf1f483 · outbound

This paper cites an unresolved cited work.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unresolved cited work

Reference 4

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unresolved
raw_fallback, observed 2026-08-14T14:56:02.290283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.556142Z digest=sha256:c9dfdac6202e9884c048a24c6fdadbd73133c146db25024cc8b44300ad8e2315

Observation e90ef06c-11da-4681-a006-48ec4bd93cec · outbound

This paper cites an unresolved cited work.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unresolved cited work

Reference 5

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no resolver link, observed 2026-08-14T14:56:00.561134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.561134Z digest=sha256:e23a73e84f23b33404bc0cfd97c36571c55ada37e399a723c96fa35a43ea45c9

Observation 0efa3c45-f16c-4a92-a4bd-0226c2b4de93 · outbound

This paper cites Schechter and J.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Schechter and J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.567154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.567154Z digest=sha256:2da318b9f3bdff00a3a07777a983687f6d9d1b69446e7b1c38c7b60dd2691e5f

Observation e909ae5a-7a1f-449e-82ae-5ba9e3db2d16 · outbound

This paper cites Schechter and J.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Schechter and J

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.574232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.574232Z digest=sha256:dd16277dfb72dfa4592c9b21b93ce82db0171df3187e94d1df3c9e2ce36f113d

Observation 473cb78d-5789-41be-bfb8-2585bac8c81e · outbound

This paper cites New Weinberg operator for neutrino mass and its seesaw origin.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups New Weinberg operator for neutrino mass and its seesaw origin

Reference 8

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:02.259860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.581137Z digest=sha256:92f0cd59bb33db72a194d7b5c1245d66b3cf728b25c92d9d8da4e8f92a7aa145

Observation 688fe679-02ed-4ac7-b7a9-3c4f1457bdf0 · outbound

This paper cites Neutrino Mass and Mixing with Discrete Symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Neutrino Mass and Mixing with Discrete Symmetry

Reference 9

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:56:00.587019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.587019Z digest=sha256:dcabbca4d2e73336300a1304c3e58db534d0f03407e954269523f94563c8643f

Observation 7aa1b438-3f06-48e8-9ccc-82af385116c8 · outbound

This paper cites Unified Models of Neutrinos, Flavour and CP Violation.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unified Models of Neutrinos, Flavour and CP Violation

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.593482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.593482Z digest=sha256:d6d95d202cd8611eb942ffccb7a1a64d3b48f0541a5960ba63c188e6f526228e

Observation e4d11b8c-4d26-41b8-b5f0-dbcdcb624ae7 · outbound

This paper cites Flavour models for TM1 lepton mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Flavour models for TM1 lepton mixing

Reference 11

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:02.214025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.599909Z digest=sha256:37d4d13aa4ad555e71a2e88d5b7cf14cf2e939f4a6fd0a3502cc93b71e982dcf

Observation b350c74f-a6c9-4432-8e07-e17ee1cbceb4 · outbound

This paper cites Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.608588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.608588Z digest=sha256:ff5b6e0dff2aadbd47529d24d669036e6689a9b7bdf5c526adff57b20590e6c9

Observation 30968fa2-c4b7-4741-9568-a9aad045364f · outbound

This paper cites Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:02.175254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.619012Z digest=sha256:d2ef21b37d4e0d993892bee07b07dadb99719077a4a323dbd88467ba989f7103

Observation 430b268b-b865-4c2a-b774-dbad220ac6b1 · outbound

This paper cites S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:02.152390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.623479Z digest=sha256:b9de56cbcab40a5610aee9225d8e69fe0fa86b036dbd02b85a22fb1c45278a72

Observation 366315bd-ad0f-425b-9953-db469e860d90 · outbound

This paper cites Symmetries and Strings in Field Theory and Gravity.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Symmetries and Strings in Field Theory and Gravity

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.628041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.628041Z digest=sha256:e70a1822c4d8525a422785bc4ae257ba331496854cc654aed6efd408934cfcaf

Observation 88e337fe-2b26-4393-aebc-4cb23d7c56ac · outbound

This paper cites Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.633380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.633380Z digest=sha256:fae28a50c36e819d65f8a3e7f4fea86bb0770578a9519e5b234ec4978b484c67

Observation fc6c0e83-6b33-4826-b61e-799c15599333 · outbound

This paper cites Explicit and spontaneous breaking of SU(3) into its finite subgroups.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Explicit and spontaneous breaking of SU(3) into its finite subgroups

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:02.103330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.638891Z digest=sha256:d82d381edfac08327ec8472e82568dddf42f8d92db0672c3a13cd571313fe8c4

Observation 43aba197-6be0-4eb7-a442-526ae9af2ff3 · outbound

This paper cites SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.646272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.646272Z digest=sha256:cf74684219d55b2b229fb2b99d3a2a5d6c97967df477e98b029dd5912a1cd326

Observation 982cc6b3-1bc8-469b-848c-3ed81672211f · outbound

This paper cites Spontaneous Breaking of Gauge Groups to Discrete Symmetries.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Spontaneous Breaking of Gauge Groups to Discrete Symmetries

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:02.069250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.650762Z digest=sha256:3ea5e94a97b683b6e18d527543445e59da0dc1080a0baad9a065a1e3dcbe9013

Observation 8b3e7fd6-3605-4cdb-a29d-1e6804047297 · outbound

This paper cites Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:02.050216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.656277Z digest=sha256:01782e787a41af8c30762781433a2c5ba68f1f4525c163b93103965892283725

Observation 76e09b16-1454-4978-bafe-5fc103e7d3d8 · outbound

This paper cites Gauge Unification In Six Dimensions.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Gauge Unification In Six Dimensions

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:02.030397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.661032Z digest=sha256:e2f9acb014d05a6abb105821db0d22501da48fb6f3cf02596d5b366cd68c1ee9

Observation 3e84a043-838f-4ef8-b0fb-6a30c29886ce · outbound

This paper cites Tri-bimaximal Neutrino Mixing from Orbifolding.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Tri-bimaximal Neutrino Mixing from Orbifolding

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.666640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.666640Z digest=sha256:e2f691a55364c014b0d4010ce40aa262a610d0bfd1344aef3a13db4207be7b14

Observation 6e953108-93b2-4985-96d5-39a32a665903 · outbound

This paper cites Stringy origin of non-Abelian discrete flavor symmetries.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Stringy origin of non-Abelian discrete flavor symmetries

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.672066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.672066Z digest=sha256:6e4a2481b7ffcae46fd6a2a8368ddb452fd72d7fc1860d9962d2ec0650248fdc

Observation d21ec83a-a44f-4b37-b407-e24a875367bf · outbound

This paper cites A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4

Reference 24

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:56:00.679298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.679298Z digest=sha256:4c59c5d16f705ced7b9170c2a68c4c86ec3d1ef03eddb31daa0689fcbeeec577

Observation 783bcf65-3737-4a4f-8810-69b377dae2bc · outbound

This paper cites Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:01.935934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.685014Z digest=sha256:77bc67f27bc74a029bef5041a394f63703e7aa4d56a9ff8fd1e728f5f6c29bec

Observation be149a8b-7fcd-4304-99df-3586b321b410 · outbound

This paper cites $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.690953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.690953Z digest=sha256:e11cf0cbc787cf21e16ce23fde6c1bd5fa9f0e90c53d611e73387fad38b59236

Observation 07fde9e9-f86f-4fdb-9279-77b67ca89ca4 · outbound

This paper cites Flavored Orbifold GUT - an SO(10) x S4 model.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Flavored Orbifold GUT - an SO(10) x S4 model

Reference 27

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:01.891343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.695610Z digest=sha256:926cdf3b2d493400a864662a3ca4aa4da13f120f908b310baa8ae1918a705ac0

Observation 0c85e48f-2c61-4867-968d-1fa0242eddba · outbound

This paper cites A_4xSU(5) SUSY GUT of Flavour in 8d.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups A_4xSU(5) SUSY GUT of Flavour in 8d

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.702769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.702769Z digest=sha256:c35d96cb06f496581da1fef3d8202bc18e3cd9e49a8e6173a1057a739fef6918

Observation 4439f508-98df-48f1-888e-a1465773e772 · outbound

This paper cites An $S_4 \times SU(5)$ SUSY GUT of flavour in 6d.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups An $S_4 \times SU(5)$ SUSY GUT of flavour in 6d

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:01.843449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.707144Z digest=sha256:7a5853082fb977f73cd78eca2baf1c07e48f03c10d33f39a9717acd7b4522b66

Observation 9a46ef6c-9fad-46ce-8b6c-7e5ed7f1e3e5 · outbound

This paper cites Modular symmetry and non-Abelian discrete flavor symmetries in string compactification.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular symmetry and non-Abelian discrete flavor symmetries in string compactification

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.712329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.712329Z digest=sha256:783a3c6491f8696f5d7a7ae2bba7467e77dcfb1853e22bce5d3ad88080873b7e

Observation 5a852cf2-42c1-499f-b887-44c4c40578da · outbound

This paper cites $SU(3) \times SO(10)$ in 6d.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups $SU(3) \times SO(10)$ in 6d

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:01.785337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.718746Z digest=sha256:3383d920910afb11be13974d6aa91624e0d0507a1bdd5732c07d66721ca64d13

Observation eeb0beba-16ca-4715-991d-0ed77fc4a422 · outbound

This paper cites Unification of Flavor, CP, and Modular Symmetries.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unification of Flavor, CP, and Modular Symmetries

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.724684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.724684Z digest=sha256:f9e223aec3332c2a8f9af075379d588c440393c4b6b910855ba18f6c250e5aba

Observation cf3ef672-891a-4af6-9a04-0470241d2750 · outbound

This paper cites Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:56:01.739093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.730955Z digest=sha256:bb24c2ea88008a0d567b597e70fd731b05aeecc1e519b1cda827d2687e8170b4

Observation 2e9277a6-b3e8-4d16-9ab0-348edae8f031 · outbound

This paper cites Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.736429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.736429Z digest=sha256:1e366c3478cc8b29d672aaf2101e3adddaa5a1a97604befb378d7476425c79c8

Observation f8d8e04a-5db7-4f24-947a-a03c9ba1eaae · outbound

This paper cites Deep learning in the heterotic orbifold landscape.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Deep learning in the heterotic orbifold landscape

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.743337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.743337Z digest=sha256:5f127fe1cfe6ce2300af422fe75154da0f222ad874fe3a16eba1430e2c37ded1

Observation 1b0b0b8c-ddab-40a1-afba-7b7fceb67089 · outbound

This paper cites Giveon, E.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Giveon, E

Reference 36

Resolution
verified exact
doi, observed 2026-08-14T14:56:01.038271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.749260Z digest=sha256:74522165ec78ede242efa53337b8ca0921fd545f9a798eee2e34ad5a81b079f0

Observation fda355bb-d7c4-47a5-98cf-f405e315e6f7 · outbound

This paper cites Ferrara, D.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Ferrara, D

Reference 37

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no resolver link, observed 2026-08-14T14:56:00.755955Z

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source=pdf_text observed=2026-08-14T14:56:00.755955Z digest=sha256:dea0cc80b2bded8b1d78ee678b3234243e07044980fd03e9642eb99267c938f0

Observation decb070f-b6d3-40a8-99f4-5250453c44f1 · outbound

This paper cites Ferrara, .D.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Ferrara, .D

Reference 38

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:56:00.761036Z

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source=pdf_text observed=2026-08-14T14:56:00.761036Z digest=sha256:458dbaaa894f93f7efabc8f795a3ed4819b86420cd296fed82470221244d6374

Observation 69ea6f93-0572-4d07-b82e-c82cf966a3a0 · outbound

This paper cites $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.765914Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T14:56:00.765914Z digest=sha256:f603df154e3ca8062d1ba962ed52c1b0ea73a1e2cb0ddfbd3f304f2268c76190

Observation 6eb39def-166e-4fbe-ab21-eeecee89112d · outbound

This paper cites Modular forms of finite modular subgroups from magnetized D-brane models.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular forms of finite modular subgroups from magnetized D-brane models

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.774801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.774801Z digest=sha256:3e8eed36cc5d63853cc71cd9f6c8746eca7f332e55298afd5e57f18a7a052548

Observation 47354cdf-1228-45f3-b2e5-abbe30d58638 · outbound

This paper cites Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.782121Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T14:56:00.782121Z digest=sha256:9779e2441b828f8b5584fde96c8d142f4267b860814b848832dc418ce9bb82e8

Observation e56bb0ab-2a99-4170-8d51-551473287e39 · outbound

This paper cites Finite Modular Groups and Lepton Mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Finite Modular Groups and Lepton Mixing

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.790288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.790288Z digest=sha256:2e0fb47c2d9eac1de9adfca451a747f26b964f7bcb7621dd38f671514ba984ac

Observation 03d68e98-0bb1-4a26-8993-ac98f54de33a · outbound

This paper cites New $A_4$ lepton flavor model from $S_4$ modular symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups New $A_4$ lepton flavor model from $S_4$ modular symmetry

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.795617Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T14:56:00.795617Z digest=sha256:50c45cdee87062c895712919be7e1bb05508b46ab8e08534171ac615cb2013dd

Observation 9affdb0b-77c9-4cc1-abe5-ce2e0beb17eb · outbound

This paper cites Are neutrino masses modular forms?.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Are neutrino masses modular forms?

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.800460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.800460Z digest=sha256:5e77564fd0d998453a868ab73ce73339ca8cf05f266ab031e0c1504571098ef3

Observation dc45cdb2-95bb-413e-a4e9-aa588fca4c31 · outbound

This paper cites Neutrino Masses and Mixing from Double Covering of Finite Modular Groups.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Neutrino Masses and Mixing from Double Covering of Finite Modular Groups

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.806858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.806858Z digest=sha256:ff57be34c768cdd646973bb1e9bcf83fb112f3fb1b2cb9a64d46490af30b70db

Observation 66f7f496-8764-4f1b-a681-f08b964e9212 · outbound

This paper cites Neutrino mixing from finite modular groups.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Neutrino mixing from finite modular groups

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.813483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.813483Z digest=sha256:86090b4657a691c821e41a91562c96331d904e8624f9356dfff826ba9d84ae2c

Observation 9a95c3e1-d954-4fb9-a67b-55aefade14f0 · outbound

This paper cites Finite modular subgroups for fermion mass matrices and baryon/lepton number violation.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.820646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.820646Z digest=sha256:4155f30db55036da143fc9f652ebd87e819ce8f7c203aa7d22d2f69fccd6a74c

Observation 146ed1a6-06be-43c0-baf2-92fd5a0de0eb · outbound

This paper cites Modular Invariance Faces Precision Neutrino Data.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular Invariance Faces Precision Neutrino Data

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.828449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.828449Z digest=sha256:94ce4d3ebb0e906c49e0ef8afc7ab103b24f871107452fec90a513b32ce13da8

Observation c96ae92b-0b3c-4f8c-bef4-2038d59fe02f · outbound

This paper cites Modular $A_4$ invariance and neutrino mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular $A_4$ invariance and neutrino mixing

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.834099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.834099Z digest=sha256:526607dfa1a27255db5adcd2f4a4e4f740167b502b1e3e6de82089624590bf45

Observation 6385c925-3f3f-4724-9c7e-901766401b2f · outbound

This paper cites CP violation of quarks in $A_4$ modular invariance.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups CP violation of quarks in $A_4$ modular invariance

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.849044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.849044Z digest=sha256:b1e4ca17015f175f624ab0ce89a0deb00156be213f17ae253dc166df6c4d120c

Observation d66e36a4-6fa6-44a0-a8da-e3af731d1f6a · outbound

This paper cites Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.855948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.855948Z digest=sha256:dc78a638d09bae60e55d3938add619e5482023e5babfe3df56fed7d5bf2f8604

Observation 49f6bda0-8fb1-4078-ae0e-91a94b8cf767 · outbound

This paper cites Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.860445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.860445Z digest=sha256:e92bcc0a32243d2d55a146f5079ae21f31bf051bbf505aa5b763a3d4dea17e90

Observation 92a96e43-6d0a-42a1-9717-7933020c76f2 · outbound

This paper cites Lepton Masses and Mixing from Modular $S_4$ Symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Lepton Masses and Mixing from Modular $S_4$ Symmetry

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.864958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.864958Z digest=sha256:5c6ecfcff40e9c9ef2256ede8c9b51f06d4a3ad748756d955ad2e44dd506c2b2

Observation 79ae53e9-996b-4da0-a7fe-e53c74807f10 · outbound

This paper cites Modular $S_4$ Models of Lepton Masses and Mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular $S_4$ Models of Lepton Masses and Mixing

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.870134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.870134Z digest=sha256:1639ddd860805271ee9749806e812fdd59ca57cf1d56802b513c086442515457

Observation 13677f83-86b3-412d-8680-cf1fd816d001 · outbound

This paper cites Modular $A_5$ Symmetry for Flavour Model Building.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular $A_5$ Symmetry for Flavour Model Building

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.877452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.877452Z digest=sha256:0233f2dcf79899b2f3bff1b1cda6692674a30e2d2f47073f5de09f95da19ea9f

Observation af675aee-d0f6-4e44-b15e-2740b4fd222b · outbound

This paper cites Neutrino Mass and Mixing with $A_5$ Modular Symmetry.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Neutrino Mass and Mixing with $A_5$ Modular Symmetry

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.882457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.882457Z digest=sha256:a7304585b90e4ccfd4895bd73c272ded64e82a86cd6365d595009c8a2d543853

Observation cabfb9e4-f78a-47e9-98e9-09b9941f4fa4 · outbound

This paper cites Towards unification of quark and lepton flavors in $A_4$ modular invariance.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.887976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.887976Z digest=sha256:be839094db12e4c5f560aefc2f14f1f34b02d61a6b43c06349f3e709a09830ea

Observation 46a8905b-e421-40e6-807e-8a092d7c7152 · outbound

This paper cites Modular $S_3$ invariant flavor model in SU(5) GUT.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Modular $S_3$ invariant flavor model in SU(5) GUT

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.892332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.892332Z digest=sha256:5375ce8d08788408b4c517d3d7f9ce21d2d62e4e7dd71376ac06f9ef88aae666

Observation 572f5a11-a317-4707-8256-0a883ccc169a · outbound

This paper cites Multiple modular symmetries as the origin of flavour.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Multiple modular symmetries as the origin of flavour

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.897446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.897446Z digest=sha256:c304fe2b2017181303e036e95e99fc7df5c35b6552917e973e5c5782492c1ca5

Observation 85b33370-0eaa-4d27-b4a4-c74c7d82e08f · outbound

This paper cites Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.904422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.904422Z digest=sha256:6a23d1e5427b86a7e47e08416f6568319b8711665bad233fe36096a2a7d6a087

Observation cac9971e-75ba-446f-a089-049a86e1af88 · outbound

This paper cites Testing atmospheric mixing sum rules at precision neutrino facilities.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Testing atmospheric mixing sum rules at precision neutrino facilities

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.910956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.910956Z digest=sha256:d8a7ae486d2172ce4f4d7a2acd4d9af3e00b6ca1b8ce3b6301e96a4a559adfc5

Observation fa7a1205-031b-4fd5-8601-87e97b5e3309 · outbound

This paper cites The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.920137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.920137Z digest=sha256:a31797d62e81b243fb5ad2563a67aa87d9e765fef231d474a810b007dbaeba69

Observation 5390e385-785e-4132-9ce9-e8403e49624f · outbound

This paper cites Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.926198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.926198Z digest=sha256:62b1df7b9ad3bf64e9088b685647c3925c2a66b887241b0e0fb42a5ed3fa8a4f

Observation 9c7f4eea-f37f-44a4-8dd1-a5b9219865a8 · outbound

This paper cites an unresolved cited work.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:56:02.274411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.934545Z digest=sha256:d2e0ca2b2975c065ed1a2b3365e9a48be7cd170dc72a903968782bba9e3068b6

Observation 65d74f3b-663d-4d87-9151-fff49a6334c0 · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Planck 2018 results. VI. Cosmological parameters

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.942699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.942699Z digest=sha256:4c27b233f30a2e306eb644769957e19de3caf44a868f9163984211c1fffd7a0e

Observation 30686592-bad8-4d48-a94f-9e0efe9795ff · outbound

This paper cites Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.949814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.949814Z digest=sha256:56902627abdfc54fda5d98f536c47e2495f575f84aebfc5164f1bf5ce89c17c0

Observation 81e64de6-5f14-4685-9806-52efccc542bc · outbound

This paper cites The Flavor Group Delta(6n^2).

Trimaximal TM$_1$ mixing with two modular $S_4$ groups The Flavor Group Delta(6n^2)

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.956347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.956347Z digest=sha256:99e574d2f00f7808245da1147fa680a71ca4623d840dbe2d8429c94183511d7a

Observation 2a43dcd9-dc54-4c4a-af2f-080a457120d2 · outbound

This paper cites Effective alignments as building blocks of flavour models.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Effective alignments as building blocks of flavour models

Reference 68

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:56:01.140431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T14:56:00.960854Z digest=sha256:5480ef2a529f008b9531faeb0a5ec44b2a6837ecef9c8acfc6b588c85e76d7dd

Observation 8c11b5f0-5ee0-4d2d-b7e1-520e0900e520 · outbound

This paper cites Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.966071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.966071Z digest=sha256:2c77075a9e29faa5b11ef9508591c65c2b009dfee507c3c374ce729ff35a730f

Pith citing papers

Observation 552af913-41c5-4d77-b32e-3a87e8a214c3 · inbound

Modular Invariant Models of Lepton Masses at Levels 4 and 5 cites this paper.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.131149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:21:04.131149Z digest=sha256:11fa1f9de1b374fdb5f4c2dc4ed240d5075c8c3d54269cda2b94a2d95f4dbb79

Observation 2460933e-85c7-4d80-a79d-7b135e370e0d · inbound

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry cites this paper.

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-16T12:26:54.728498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:26:54.728498Z digest=sha256:17e50a369a3fd9ab0d689ba2d99c3c75592a9787d911f2dfe62a431abcad983a

Observation 4506e52a-db11-43c9-9808-847b9ca1c0ed · inbound

Stringy Constraints on Modular Flavor Models cites this paper.

Stringy Constraints on Modular Flavor Models Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-15T17:27:24.902888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:27:24.902888Z digest=sha256:86ad4e4022fa693a22e1f627a32cc97b5264414503b88579f7a3fe2aa8064c75

Observation 30122e4a-a3b1-47ad-ae57-ccbbb13f1fef · inbound

A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE cites this paper.

A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-02T20:36:40.781594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:36:40.781594Z digest=sha256:ab35a847a7b6de609b40f5e4f0472d0742d771bff4c1ec2f3513bbf12949b633

Observation 4a6b45bf-da0e-43d1-acf7-9d5693897397 · inbound

Two-loop neutrino mass model with modular $S_4$ symmetry cites this paper.

Two-loop neutrino mass model with modular $S_4$ symmetry Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-13T02:42:08.767114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-13T02:39:53.090395Z digest=sha256:0eb3489319e9be60ce4aad78e21925d0973c63a7f15f2e3baec659e59530622d

Observation e8003267-48e9-421b-8605-9da9fbea8d53 · inbound

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing cites this paper.

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:16:14.524045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T17:14:48.090549Z digest=sha256:eb33de8e21b1e3ba4e3b761ba85960e59fead77cf4d599615787979f0d37c2e4

Observation 350fc5e2-86aa-4c67-8c46-2b32cf883d50 · inbound

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing cites this paper.

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T05:14:31.259031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:14:31.259031Z digest=sha256:c6b3a4eec28382e8406286f411081eb966515eaaaea1b42f468d12af15614a2c

Observation 34c4be7a-1fff-4960-8101-14b4b432e27f · inbound

The Future of Lepton Flavor cites this paper.

The Future of Lepton Flavor Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 221

Resolution
verified exact
arxiv_id, observed 2026-07-02T09:36:49.969914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T05:25:55.116276Z digest=sha256:a0d26608bbb6e6d3fbaa3d7ed5e829e37ced1cfa955f9bd8244cefd2e3d0f620

Observation 66b44e5f-9c89-451a-a2ad-df33f355edc7 · inbound

Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw cites this paper.

Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-07-10T16:27:21.717030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-10T16:27:03.496372Z digest=sha256:a6d1c5200fd8cbd1273a3499a7b886c28fe69e1b793fbf6ecf8c8451d375bf29

Observation e33191e4-a8a5-4dc5-bed3-b666d7e8d56e · inbound

A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures cites this paper.

A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 111

Resolution
unresolved
no resolver link, observed 2026-08-01T14:27:34.391979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:27:34.391979Z digest=sha256:60d57da29c688f079ba454af693421b340a512c73ec802bd0c6a467133ee8e94