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Paper Citation Record · LEDGER

Multiple $\wp$-Functions and Their Applications

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.14118.

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

pith.paper-citation-record.v1
2507.14118 v5

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T03:48:31.395345Z

measured 21 of 21 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a91498f-d456-4068-98e0-68a693f2d600 · outbound

This paper cites Amdeberhan, M.

Multiple $\wp$-Functions and Their Applications Amdeberhan, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.328562Z

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=2026-05-19T03:48:31.395345Z digest=sha256:8cc36ccc552b1970e223c3a9b58e491ad5f763a4cea07f1de8f4d1046a64afbe

Observation 865c9f7b-ee28-4dfa-9a46-ac370d96462c · outbound

This paper cites Amdeberhan, K.

Multiple $\wp$-Functions and Their Applications Amdeberhan, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.326041Z

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=2026-05-19T03:48:31.395345Z digest=sha256:5acab6b163b3d08e125d984bcbed7809787745173c75fa042af5ead1dfb0176d

Observation 7f0b381a-dce8-415f-a784-341e51b50fe8 · outbound

This paper cites Bachmann, A.

Multiple $\wp$-Functions and Their Applications Bachmann, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.323740Z

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=2026-05-19T03:48:31.395345Z digest=sha256:2188e7385655053063323c5fa391ce312b9972169de54a9a8b84ec0c28ea073a

Observation 8446e2ed-96f1-4679-b31b-8ac636141c2c · outbound

This paper cites Bachmann, J.-W.

Multiple $\wp$-Functions and Their Applications Bachmann, J.-W

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-19T03:52:01.602588Z

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=2026-05-19T03:48:31.395345Z digest=sha256:3b3566d97b388015e58682c9a7648255fc4d6783741f24654d2c805b46f61f6b

Observation bce5a6c9-db3e-4dfb-9f91-48348a1c3e07 · outbound

This paper cites Bachmann and K.

Multiple $\wp$-Functions and Their Applications Bachmann and K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.321650Z

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=2026-05-19T03:48:31.395345Z digest=sha256:56b784b17ddfede56aaa24fb451e7b25a0421c39892f2abc12f82ab9b2c6e868

Observation 3f42730f-d60d-43c5-a0e4-230b820f8bad · outbound

This paper cites Bouillot, The algebra of multitangent functions , J.

Multiple $\wp$-Functions and Their Applications Bouillot, The algebra of multitangent functions , J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.318532Z

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=2026-05-19T03:48:31.395345Z digest=sha256:9ad2669343bb69e202fdd15ac0ec4bcefea414e2a7c653cd84d4a86125f94bd6

Observation 96d2cc7f-755e-4c8c-85f5-145da766a5a9 · outbound

This paper cites Bringmann, B.V.

Multiple $\wp$-Functions and Their Applications Bringmann, B.V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.315874Z

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=2026-05-19T03:48:31.395345Z digest=sha256:91a867ef96bf0a6d5ac1e6dfae964ab5017c2091c628065f7d2ebd22ee3b5d96

Observation 2709a61e-41bd-4d72-8a70-c0a6f0d2821c · outbound

This paper cites Gangl, M.

Multiple $\wp$-Functions and Their Applications Gangl, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.313502Z

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=2026-05-19T03:48:31.395345Z digest=sha256:2809c24f8c95bd6ccfb4092acc240a958d5fc1855b44b3150d973e0b319bc063

Observation 9741fdef-c072-47d7-8536-0d0d28d8cfc2 · outbound

This paper cites Multitangent functions and symmetric multiple zeta values.

Multiple $\wp$-Functions and Their Applications Multitangent functions and symmetric multiple zeta values

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-19T03:52:01.599737Z

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=2026-05-19T03:48:31.395345Z digest=sha256:023177c104c9a179c5ba7ca3fc70b9c28cd2fab2dbbecf909763060e32893a3a

Observation 75ce8e54-5b92-4fdd-b600-1a2982f8787e · outbound

This paper cites Hirose, An explicit parity theorem for multiple zeta values via multitangent functions , Ramanujan J., 67, 87 (2025).

Multiple $\wp$-Functions and Their Applications Hirose, An explicit parity theorem for multiple zeta values via multitangent functions , Ramanujan J., 67, 87 (2025)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.311050Z

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=2026-05-19T03:48:31.395345Z digest=sha256:8f5b6131dea54c58ec418cfeebd1595dcea98626bf8d332c491862f5deddd9ff

Observation f898cdc4-312f-4a35-9de6-ec0edc2460df · outbound

This paper cites Hoffman, Multiple Harmonic Series, Pacific Journal of Mathematics, Vol.

Multiple $\wp$-Functions and Their Applications Hoffman, Multiple Harmonic Series, Pacific Journal of Mathematics, Vol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.308431Z

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=2026-05-19T03:48:31.395345Z digest=sha256:13ffa1c7fe41b35e9a5c44bafcf34c73bbfccd438b56cd3fd52e327b4357c760

Observation 6c9f41ef-f477-4914-9a04-fb2703aff255 · outbound

This paper cites Hoffman and K.

Multiple $\wp$-Functions and Their Applications Hoffman and K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.305655Z

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=2026-05-19T03:48:31.395345Z digest=sha256:7638a1b1a303184218daee61826ea9774def35acbbd36999734a53e7be244e12

Observation a28e5877-9b9d-497f-b59a-f88f6df1e13e · outbound

This paper cites Kaneko, Double zeta values and modular forms , proceedings of the Japan–Korea joint seminar on Number Theory (Kuju, Japan) (H.

Multiple $\wp$-Functions and Their Applications Kaneko, Double zeta values and modular forms , proceedings of the Japan–Korea joint seminar on Number Theory (Kuju, Japan) (H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.303122Z

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=2026-05-19T03:48:31.395345Z digest=sha256:1b64710f211024cd9059082cffbb2e93d0927a53aa5cff9f3e073312dd9d5cd9

Observation f258430b-cb23-4ca9-a2c0-04e78a6d8823 · outbound

This paper cites Kaneko and K.

Multiple $\wp$-Functions and Their Applications Kaneko and K

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.300165Z

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=2026-05-19T03:48:31.395345Z digest=sha256:81ffee0750cf5ece427529bcbd67d442223e3396002c687e0e5d3fd4b5a0a930

Observation 79e4acfb-78e5-4538-b2ab-33f8ad42d2d3 · outbound

This paper cites Kanno, Shuffle regularization for multiple Eisenstein series of level N , Ramanujan J.

Multiple $\wp$-Functions and Their Applications Kanno, Shuffle regularization for multiple Eisenstein series of level N , Ramanujan J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.297779Z

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=2026-05-19T03:48:31.395345Z digest=sha256:0b7211e2f5e8618b211e49ffbbe8183b65787a072116e7c4bfc616772cb1dc30

Observation ab99bfc4-79d8-4514-82ea-bdf5e0e31149 · outbound

This paper cites Kina, Double Eisenstein series and modular forms of level 4 , Ramanujan J.

Multiple $\wp$-Functions and Their Applications Kina, Double Eisenstein series and modular forms of level 4 , Ramanujan J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.295069Z

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=2026-05-19T03:48:31.395345Z digest=sha256:912f09480cea7f081bacf35852f670f22feab116c01eb8fc5a5aa8eac0775cf3

Observation a391f2e0-5949-4a20-a453-d73518227058 · outbound

This paper cites Matsusaka, Applications of Fa` a di Bruno’s formula to partition traces, Res.

Multiple $\wp$-Functions and Their Applications Matsusaka, Applications of Fa` a di Bruno’s formula to partition traces, Res

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.292610Z

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=2026-05-19T03:48:31.395345Z digest=sha256:a9ae9af77443766e75287779dd77ff407e5463185c0a629ab842dd80357dc16e

Observation 9d37e0f8-9711-4c2d-b84b-d760d9bdae71 · outbound

This paper cites Okounkov, Hilbert schemes and multiple q-zeta values , Funct Anal Its Appl 48, 138–144 (2014).

Multiple $\wp$-Functions and Their Applications Okounkov, Hilbert schemes and multiple q-zeta values , Funct Anal Its Appl 48, 138–144 (2014)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.289803Z

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=2026-05-19T03:48:31.395345Z digest=sha256:80276934f9efc70bc8d334c1417327ef619971af3c9249fcc029edd5c03c135b

Observation fe21d8a6-b501-4b59-9677-ff66b56aab89 · outbound

This paper cites Stanley, Enumerative combinatorics.

Multiple $\wp$-Functions and Their Applications Stanley, Enumerative combinatorics

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.286875Z

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=2026-05-19T03:48:31.395345Z digest=sha256:50ad208d885cb2b71cf7aaebd7db31c5c000b6b7ab6393cc5382a7cd3f91a531

Observation 8e869336-3d9b-4324-ab57-40aa8bb09afb · outbound

This paper cites Tasaka, Hecke eigenform and double Eisenstein series , Proceedings of the American Mathematical Society 148 (2020), No.

Multiple $\wp$-Functions and Their Applications Tasaka, Hecke eigenform and double Eisenstein series , Proceedings of the American Mathematical Society 148 (2020), No

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.283077Z

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=2026-05-19T03:48:31.395345Z digest=sha256:ca2bad9817419097c3d69510b1edbebc0989abf69c46cf22ba7c3a18adeb21d5

Observation 54d233d1-1433-4683-a1d8-467dbdf1a0d8 · outbound

This paper cites Yuan and J.

Multiple $\wp$-Functions and Their Applications Yuan and J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T03:52:02.280346Z

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=2026-05-19T03:48:31.395345Z digest=sha256:fc79b20a4fc3b965d5d29f8751997c51fa6aec3a3b7a4d8d77fe5c12a328c591

Pith citing papers

No inbound Pith citation observations are available.