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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.756515Z digest=sha256:08bada74efbac27bfcc9a7605920b8065fc7981ca12ebfaa62dece5159046b6e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.760664Z digest=sha256:e5bf5fc5a3ad4399c53c3d2c43a99052e8710b0770d18a28ed3524735dd17fb6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.764181Z digest=sha256:ebf75ada4b2ed426eed83710393cde2c8f86fd323cc54451c5b71190ed0a8288

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.767723Z digest=sha256:ca3a4f0dd84099d3028513f9631af14a18d8fdabdd4027c230e6d40885836685

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.771240Z digest=sha256:5d3c4c3fa5128fdefab84e05a8c398984620259160b11a7c2127b29967872f79

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.775032Z digest=sha256:9013a6e8e2f3399735b8e33515e47980b3065b481c9e137f32572cc148043ede

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.778921Z digest=sha256:f1fb5d9c47d4d27e6923f70a6013465e4d6beb4016ce084b5579c0d92fa98cce

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.783130Z digest=sha256:8d77c35376d477d84a02f1ab6fed3c74b7dac68314453f08f0ac14e12af2361e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.786971Z digest=sha256:ae81371dd85df9c25265e8095e9942939fbc2b72c1f9dca2995c294817509f69

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.790078Z digest=sha256:ba045df00019a88d269513fc7f6f4ab03a762a898defdf1c489782d47183720c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.793185Z digest=sha256:efb1925338ef4d0ed5bc1b81f51573afca22a491682abbf92a24e4aa37ecddb5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:13:45.796901Z digest=sha256:1a44d4c005a28166b013ab52d687d35d1c20e987d69892d940ad5e2dceb5cb7f

Pith citing papers

No inbound Pith citation observations are available.