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Paper Citation Record · LEDGER

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.05586.

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

pith.paper-citation-record.v1
1908.05586 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:13:45.796901Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 798177c5-6355-4388-8729-3f66ddfa6d28 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.946693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.756515Z digest=sha256:316a32b463f8c75b939ff6e4a6c9a3ff66fe7662b19a4897d5c3b44a2cf879e3

Observation c99b454d-c128-49b3-9edb-6ef9f2113ebc · outbound

This paper cites The probability of finding such polymer polygon in two dimensions is 8/(4*lp)4 and in three dimensions the probability is 12/(4*lp)6.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain The probability of finding such polymer polygon in two dimensions is 8/(4*lp)4 and in three dimensions the probability is 12/(4*lp)6

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:45.936535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.760664Z digest=sha256:fa613e5e4a3c369a44338c5ee9f1b3f3b67a277fa28d9e3d8a2f02abd267407d

Observation 213b5cb3-7c98-4254-83e8-99ca75457d90 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.924635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.764181Z digest=sha256:7dd31f6b414469fe18a01bf2a5d7f5a1b24d98a2a3ef345a9dc5c12cf1b82f59

Observation 2be506bc-56d4-45f5-a949-f0a499801672 · outbound

This paper cites Jun and J.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Jun and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:45.913830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.767723Z digest=sha256:fa4a99ca4387aba2ac81852b29aea8eec2a84a21b1a9088e7acd4c1ffb392284

Observation 3512e916-44a5-4858-a6b0-2b56f505edfe · outbound

This paper cites Tyagi, S.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Tyagi, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:45.902984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.771240Z digest=sha256:cae1f9bceec512fe9e1126088e523df2224b2813a359e772c75fc4eb51530437

Observation 07b5c0d3-99f1-44c9-a18f-ef9479c4e08f · outbound

This paper cites Kratky, G.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Kratky, G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:45.892017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.775032Z digest=sha256:e422df093136544cc25c1ee070fa9f5f53a0c0561491f3205a3861af283d4928

Observation bc8035e8-ee7b-44dc-a18a-b52462754a2b · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.880916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.778921Z digest=sha256:c6a0ea63803c6e992810ebc36c6a0d5c8f0788d1d00b1098c66668012843f6f9

Observation 1d6233aa-9566-416d-8344-9c18dbd7f8d7 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.868300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.783130Z digest=sha256:b7c7b64fec48cd6582eaa1cda262dc4bc6c90dc0dfcb8def7424179909f60fb2

Observation 3c6171a2-a449-4016-84b5-de1a1c4096ac · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.857659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.786971Z digest=sha256:6623e870c4b88283a2a387e83b2dd272ea47391696e79a811a185e8dbf24a430

Observation 331a2e98-f726-4abc-8c3d-dc97bffa08e3 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.846990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.790078Z digest=sha256:8498037e594845cdf848cce49d6cda0192027b83c18d47d35da9e792b6995674

Observation 271459f8-ae35-4b70-8bb9-7e966f870919 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.836785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.793185Z digest=sha256:fc45931e7e2363a3d74b7eb9a963809c41e8bd296d235d8eb3beddadba47837d

Observation db8eb55e-5d9b-49d0-922e-2aad9f023d49 · outbound

This paper cites an unresolved cited work.

The bending energy of a semi-flexible polymer chain and the polygons of the polymer chain Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:45.827231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:13:45.796901Z digest=sha256:cb963bc746cfb55c8b253bffe7eb24f87cf6b3f0e7070b9ce7161919438415b1

Pith citing papers

No inbound Pith citation observations are available.