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Paper Citation Record · LEDGER

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2412.04491.

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

pith.paper-citation-record.v1
2412.04491 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:37.665794Z

measured 23 of 23 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:22:17.850464Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T20:57:35.052468Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a0cffae-a0be-4adb-a1f1-891a1fef9e8d · outbound

This paper cites Domokos, A.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Domokos, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:39.014450Z

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=2026-08-12T14:28:36.957816Z digest=sha256:0b9e3f516986d3b334088cd52d4a262bf85f68268b1b85ac6858d7171823879b

Observation 23696c03-357f-4333-8480-afc6f20a8220 · outbound

This paper cites Infinite periodic minimal surfaces without self-intersections.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Infinite periodic minimal surfaces without self-intersections

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.929957Z

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=2026-08-12T14:28:37.015149Z digest=sha256:72d1bd89a830b390052f6eb402b839d1b84a91192e4535d4c52ca786d6a284d2

Observation 7a017767-6761-4d13-93cc-c3c7cd64aef4 · outbound

This paper cites Grason and Edwin L.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Grason and Edwin L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.914640Z

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=2026-08-12T14:28:37.021847Z digest=sha256:dddfb39f88ce030dd202f71288eb045a4f1aa041c9926c545e1c852d93dfb1f5

Observation 78b91915-a719-443d-b046-75b041e34d6e · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.896987Z

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=2026-08-12T14:28:37.029536Z digest=sha256:56c33a21fb9e5ec7dc3add4522c33e96e4432c0d4c0ae06822770bb85ba81efb

Observation 63fe2bb3-d768-42c7-b177-0423b8a577b0 · outbound

This paper cites An overview of materials with triply periodic minimal surfaces and related geometry: From biological structures to self-assembled systems.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz An overview of materials with triply periodic minimal surfaces and related geometry: From biological structures to self-assembled systems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.878719Z

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=2026-08-12T14:28:37.035423Z digest=sha256:c10d631775b6d9586979c78fea2d3e32a7cd131e4c9afb057ca0c3a081f65025

Observation a6192c1f-0f71-40d2-80c9-439dac8b723b · outbound

This paper cites On the division of space with minimum partitional area.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz On the division of space with minimum partitional area

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.764654Z

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=2026-08-12T14:28:37.041525Z digest=sha256:857653071bbc8f3d1cf54ff6bccf4459fe11bddb5c4d12130c258bfe0a060367

Observation e115bb11-5dd8-4e34-ba39-b92ef8b4ceae · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.620281Z

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=2026-08-12T14:28:37.049337Z digest=sha256:a173e5191692f696ce4574c02420127b08b55555abab953a1687cd16d75a795d

Observation aa5a2b8f-ad57-4cf7-aef0-3bb96e140870 · outbound

This paper cites Aroyo (ed).

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Aroyo (ed)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.601645Z

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=2026-08-12T14:28:37.142515Z digest=sha256:7dc388896209c92bbd54f9be459be7f5c71cd4bd10eb66e30d7499ca6d679984

Observation ea528280-dc09-40df-88d2-a1b876c8b993 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.584375Z

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=2026-08-12T14:28:37.257772Z digest=sha256:c25bcdb925827313021c4f54448b8bd4b939df884c711d0c28bffe84f80459f6

Observation 564f8d9e-8e9e-4358-9643-76b98841d116 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.506179Z

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=2026-08-12T14:28:37.302532Z digest=sha256:0b01a2afd8e754a0e8512bc5eb25a359458095503ab7aa72a6f011bab4470d61

Observation 0c41e575-0a53-4fd7-848e-886c0960b6ef · outbound

This paper cites Gandy and J.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Gandy and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.365515Z

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=2026-08-12T14:28:37.307672Z digest=sha256:b918536006d85d307190497cdf2896d814f3b3f27d042d889bfc93dcbf0db0fe

Observation 8091292a-2348-45c1-ac32-c608e7f18c7f · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.349604Z

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=2026-08-12T14:28:37.312807Z digest=sha256:c75e54fa91ea5477fa46e4c3b470e4193b29d1c1ca23578cb49c3e1085d648ee

Observation b5930eb8-bd08-461f-b02c-5c2631cff0a9 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.335192Z

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=2026-08-12T14:28:37.318893Z digest=sha256:03e1ecd173fd632891e64891fd1ca79af53c5770f1f1825ec7aa07cf7a4a9b4e

Observation f80a0b80-40c4-44d4-99fc-5d4462476add · outbound

This paper cites Kelvin’s foam structure: a commentary.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Kelvin’s foam structure: a commentary

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.318494Z

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=2026-08-12T14:28:37.381750Z digest=sha256:b4ceec35caf8dcf91f5be23e5dc5207ea97497da9659f8946a27ac896c6920a4

Observation 44766661-8585-41c3-bcad-5805aabb2803 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.265260Z

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=2026-08-12T14:28:37.474730Z digest=sha256:f1afb75dcd49ed6e87ce0b47a6c2b1591e7b55449e87a56bc2f3ecf9e63b3884

Observation 75de6f29-387d-4e8b-83cd-cbcdbc03f81d · outbound

This paper cites Daxner, R.D.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Daxner, R.D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.119574Z

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=2026-08-12T14:28:37.539967Z digest=sha256:081c1e7757b080aa06b58c9499b8c6033a303e8717bd85d3ab9f496bd0471940

Observation 4b3bea93-824e-40d5-b353-ff70aee8bc5a · outbound

This paper cites Deuxi´ eme note sur les surfaces a lignes de courbure sph´ eriques.C.R.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Deuxi´ eme note sur les surfaces a lignes de courbure sph´ eriques.C.R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:38.102888Z

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=2026-08-12T14:28:37.547694Z digest=sha256:c5bca5934a68a91506b880bdb45a62475ddb4f43d972b09a0dd61ffb87a67ec7

Observation d90d5995-439f-4de5-b1d9-f87b39083e4f · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.084913Z

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=2026-08-12T14:28:37.552769Z digest=sha256:cb4c5a6835e324836106408fd70fd7299adafb635b88c9a0e8f827f4299f9636

Observation b7f25c50-8d39-4e0a-b577-979c94704f9c · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:38.067832Z

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=2026-08-12T14:28:37.557531Z digest=sha256:47040abd1d5fb5c086602e3875299d0dd5bdfe0c33d4728b3c2cc106d89b45b0

Observation 586688eb-bd5b-4e19-b95f-7704ddbfeed1 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:37.871799Z

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=2026-08-12T14:28:37.561966Z digest=sha256:ee2584bf6b9d2e217c0096f063c8e12cb97dbf5a987c9e9350270dbe1f3d20f8

Observation e1e9c269-9bf8-4624-9d9f-9f9695060d86 · outbound

This paper cites an unresolved cited work.

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:37.790207Z

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=2026-08-12T14:28:37.665794Z digest=sha256:fff2f859ba7551a26d6a25c53fcc8a1bbc4071110f618901e283e79bac88f819

Pith citing papers

Observation 6d4037b5-a5bc-4f27-ac6e-f26095731d28 · inbound

Soft cells, Tubular Tilings and the Hidden Phases in Binary Mixtures cites this paper.

Soft cells, Tubular Tilings and the Hidden Phases in Binary Mixtures Soft cells, Kelvin's foam and the minimal surfaces of Schwarz

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-10T20:57:35.077123Z

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=2026-07-10T20:50:41.608402Z digest=sha256:a08eb99a21204b23e4b7d3c84fb0c596b57516644055edf061596ce7f10543c9

Observation f283bcb9-01ab-4dfe-a5aa-29c39ce6f43a · inbound

Prismatic Soft Cubes cites this paper.

Prismatic Soft Cubes Soft cells, Kelvin's foam and the minimal surfaces of Schwarz

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T05:22:17.850464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:22:17.850464Z digest=sha256:00a102010263d1c2594d02798a64f9a2781ce1edaefb6b3194df83f0379dfe10