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Paper Citation Record · LEDGER

Defect-Mediated Melting of Square-Lattice Solids

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2507.16418.

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

pith.paper-citation-record.v1
2507.16418 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:29:15.952935Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:29:14.142694Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T18:20:04.929646Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b2151f9-86e5-4379-a42e-7e919b1064ce · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:20.064679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.208343Z digest=sha256:7a9a9d8dc50ba927367f3bd917d4476d8faacefcf1b29993e2501af8c2e862dc

Observation 02e83a34-cc68-4265-8cd5-4caf6041ff50 · outbound

This paper cites We will denote the ratioγ µ by ϕ ≡ γ µ.

Defect-Mediated Melting of Square-Lattice Solids We will denote the ratioγ µ by ϕ ≡ γ µ

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:19.858918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.285370Z digest=sha256:eabfa525cd6181e7f52db3cbda99c2feb25a7cf33098881f20ea3ee878bd6b25

Observation 65d7a017-e3d6-4631-a4ea-b6364e6f49d2 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.838224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.838224Z digest=sha256:7cac80e9831734b2db0de9c5b1156804d9484c57163f183a0216052de9a4aad2

Observation fe43bdef-51bf-419b-9f97-3e929f013e47 · outbound

This paper cites Defect-Mediated Melting of Square-Lattice Solids.

Defect-Mediated Melting of Square-Lattice Solids Defect-Mediated Melting of Square-Lattice Solids

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.142694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.142694Z digest=sha256:798d056f977e96989514d9315699dd85bd41e29e04805a6e808d4090f3ad559f

Observation 8fb4a82c-4b09-473b-a3a6-418bb8849147 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.707207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.408325Z digest=sha256:ed414b07654cecf5f04099c905555599e75fee8c0e046972fd5ff3534330736c

Observation 62977fd0-7c93-41ea-a3e9-ae68c8befe4a · outbound

This paper cites At the transition from the intermediate phase to the liquid, ηn obtains a universal value.

Defect-Mediated Melting of Square-Lattice Solids At the transition from the intermediate phase to the liquid, ηn obtains a universal value

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:19.558057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.500787Z digest=sha256:f4377dde73c5a28171441fbab5d56b1daba55611fa865c0181697fa89e8469f8

Observation 80e211e2-7f15-4671-9fc0-ece753584105 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.605313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.605313Z digest=sha256:cc72dbce50557de18a1fcb9430adb2818dac1c0fa9ece1080bf6873937d06b76

Observation 696c3374-7691-4a59-a0e3-4efbf4e0bac2 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.319205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.731911Z digest=sha256:ac059d0949db07a623068224203f05e4fd987d3cc99b76d1905a3f195d3b573f

Observation d4e7bb6a-4c4d-4757-b2dd-1159c234577b · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.024100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:14.966475Z digest=sha256:8258b2e5f3ea0d68df8eeb154d352acc7d75b5864ceeab8de7b41d649726deb3

Observation 595c412d-ea2b-4781-9a05-3ee4829a9e81 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:18.784730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.049158Z digest=sha256:1a558a308ad963bb4db948b918281a784ec4c93baad51f57514b9a1d32533592

Observation 7db35b67-54ae-470f-a41c-25b9dc6d7757 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:18.459698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.139179Z digest=sha256:e9196b04a830f6ccc318d44b3b2bd9ebcdba40b5ab4c65da23953d32d355b445

Observation 9ea819bd-e5e9-40c6-b911-3d6660157d73 · outbound

This paper cites Jaster, Computer simulations of the two-dimensional melting transition using hard disks, Phys.

Defect-Mediated Melting of Square-Lattice Solids Jaster, Computer simulations of the two-dimensional melting transition using hard disks, Phys

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:18.212024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.225009Z digest=sha256:5fc7829be6d00b7fa9317a15a64114211bd5f14ccd2afbb3487b046361d8eb88

Observation fa54037a-aa44-4fd7-a5b1-48254b2346a0 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:17.937055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.304062Z digest=sha256:5993f30399a8c28df54ccf7fa9a8ae3f286c8219956fc9ed3ca47f6554cd0f14

Observation 14c15776-49c9-49b8-957b-83e581ba37f4 · outbound

This paper cites Zhanglin, Y.

Defect-Mediated Melting of Square-Lattice Solids Zhanglin, Y

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:17.614816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.388816Z digest=sha256:61618a7678052356e962e10eaa563441e31c063bdf66fe4d62845a2f9f1742f3

Observation a5f8570a-3f7f-47bd-8ad7-c0f84508571e · outbound

This paper cites Abutbul and D.

Defect-Mediated Melting of Square-Lattice Solids Abutbul and D

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T15:29:16.137115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.471277Z digest=sha256:6ac3b7a9178d70ae7878f4aa0ec3ed2d0bad1139d12fc7a04eb12b4fbd40b034

Observation cb7a619a-87a6-4214-b620-2fe20f0c4c21 · outbound

This paper cites Dertli and T.

Defect-Mediated Melting of Square-Lattice Solids Dertli and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:17.270255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.550296Z digest=sha256:85e283fa8c424e445dd802535a87edc4c6f9c456491bd1b03ac429a22ccccc4f

Observation 4cfc3b55-ec48-4073-bd5c-ddb0ab9aaac7 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:17.023472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.620205Z digest=sha256:11d28f64013bc34cd9ade4a610f868f714a65b667e5f338bf13a4a9c738f8933

Observation 84da2070-c0e9-48f2-9b4a-b090b874ed67 · outbound

This paper cites Walsh and N.

Defect-Mediated Melting of Square-Lattice Solids Walsh and N

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.748226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.702081Z digest=sha256:c08bea0cb8faab6231594699a1bdcf6d5ce677308fc9310cb2d1e7b8364e3cd1

Observation af15519c-ae38-4863-aa7f-1103468ebc2f · outbound

This paper cites Löffler, L.

Defect-Mediated Melting of Square-Lattice Solids Löffler, L

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.520400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.801398Z digest=sha256:2e01c173685df403f5073291a52473428e0aaabed819d708b0b59492f1ecb90d

Observation f746da0e-5e32-4bc0-9279-ad7338413917 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:15.879241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:15.879241Z digest=sha256:527774f449ce1e8b5bda65076b977eec7df6afb5d34c1cdb04e8badc7dd52b0d

Observation 077322ed-5b10-4ac7-8a9d-8b72e4f26cb8 · outbound

This paper cites Gopalakrishnan, J.

Defect-Mediated Melting of Square-Lattice Solids Gopalakrishnan, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.315854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:29:15.952935Z digest=sha256:599b730331382fb1807852a32b442178553dda69a4c62d998427e593a6a4b8b3

Pith citing papers

Observation fe43bdef-51bf-419b-9f97-3e929f013e47 · inbound

Defect-Mediated Melting of Square-Lattice Solids cites this paper.

Defect-Mediated Melting of Square-Lattice Solids Defect-Mediated Melting of Square-Lattice Solids

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.142694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.142694Z digest=sha256:798d056f977e96989514d9315699dd85bd41e29e04805a6e808d4090f3ad559f

Observation 154886ae-6f10-4720-b79d-4dac435ab6ee · inbound

Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem cites this paper.

Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem Defect-Mediated Melting of Square-Lattice Solids

Reference 95

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:20:04.931208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-25T22:55:34.659853Z digest=sha256:9d81b9d9c8814640d621cdf51ce51446afa869fccc39e52302cfd4c193924bfa