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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:36.957816Z digest=sha256:2336f24c3995cca47964f8d1cb5d7f629ca6b742499ec6f1276c5b7d068714e4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.015149Z digest=sha256:fc18f4bec7b18c41dd42dbbc7f922371367499d1c5c030c3ffd17b01cf37e346

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.021847Z digest=sha256:40a45df6c96e8ed98ba0564728abc8f8e1c08b35196319d57fa86880bf75902c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.029536Z digest=sha256:c8533aa0aedccadc03c2a8fae2c6acafc1ddff9f14930ed385b1da477b05180f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.035423Z digest=sha256:6a067610a115b58e6b544e7a436b1201b5b71dc8e276fa6ac62a4eec3938f6a5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.041525Z digest=sha256:6e231c8a3d65cb34022631c1200fd0be6c87a6a7f94f785091899e01e5745372

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.049337Z digest=sha256:26bb14ec7048c9366ba0797b02f0c6ffd8671ecd65a01dc4683fa9f4bc94f235

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.142515Z digest=sha256:d0f2f7e6d847c96e4bac3f2c1368878120682106c6a9cf8d21dc1504317dc073

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.257772Z digest=sha256:b7a9b3372ab57a0584606d296268f233bd1248f8bcce2e0d8c37d412cb7d8cfe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.302532Z digest=sha256:8dd683e4831931f2aeffeee4aa55049dfcc31d76cf8df38989516cfdf9403d5f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.307672Z digest=sha256:24f9da7a7dbe684ac5105801d30df9401b7d1d02dd9bff05edaa9a615a9320e4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.312807Z digest=sha256:d99242227abed8509683fbf1c16c51733cd05a4f367e19368dcb899ccd524182

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.318893Z digest=sha256:ecabd086e8b6f59f5876396570453fa87ac55b72d46d0a145b1abf5a370b3d1e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.381750Z digest=sha256:aeec7bbd3e50ec072c34ba779a3c48c93cab4e17e7a4ede9219eed9732a89610

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.474730Z digest=sha256:75bc9a2e6aed56cfecd85695d06d71b36205c815530cf3b78ee5e591b4dac4ec

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.539967Z digest=sha256:2be6b3d952285e1d74fb8f0c1c43506dfef86b0a07c3dd1ba585190cd6e570c0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.547694Z digest=sha256:7c36a83c25b60e1d558c287a2e91c06e0d541d3499899e489256c94d8bf0ebc1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.552769Z digest=sha256:3d6f46cb04375440136cc917ebd025f4b818873cd183fa382873b9a1d376d0ad

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.557531Z digest=sha256:745e5a0a417bacd71c438fc85cefb499db3cea02d952b52c51d66a92e8ec94b2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.561966Z digest=sha256:b32a448c6d56035dcc1698dc4ec3501889a6f5dc54ec4cfcd80bae6829198cf8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:28:37.665794Z digest=sha256:84fad4b2d834487b2489f329127df8bbae25d37060713ab3d4da46147243df70

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-10T20:50:41.608402Z digest=sha256:5b815946efda5f5936b72c9225f18a2a4994ecc8a0b3c62513fa02d0a39c51c7

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:d1cddbe8698624797b36fe28d71d4a7898fd182a4fa09a925b6e45200d4d82cd