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Paper Citation Record · LEDGER

Invasion with size-dependent dispersion range

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.31942.

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

pith.paper-citation-record.v1
2606.31942 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T02:01:59.828945Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89e636b5-4e15-4f23-8476-b052ae6734b7 · outbound

This paper cites Dispersion exactly at rangeL(r) approximates more realistic situations where the dispersion range is range is stochastic, e.g.

Invasion with size-dependent dispersion range Dispersion exactly at rangeL(r) approximates more realistic situations where the dispersion range is range is stochastic, e.g

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.757965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:c1a7ad564a4975fe94452bc8218872e29da62811d0ca0f263b51f17e3df40af9

Observation 2b3babc3-1d2f-4c5b-acd5-1f95f32ba90c · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.746567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:1d23efeabc1cb217e2caa0ab64b912e6a59d824888575fee4f4a938e6299e799

Observation c72e26c9-adbe-46a7-b335-21df80ebcb4d · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.778563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:ac6b570e1110f70ba1cee72c46a7b0501f4b04e3c25d9e0abc13ce586053a2b1

Observation ea1d8d6e-2212-4cb0-b7f3-52aee128b25b · outbound

This paper cites Beyond that limit, i.e.

Invasion with size-dependent dispersion range Beyond that limit, i.e

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.742325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:ae6a62bf027f22ecc67eec087683bdea6ba0cbea47e217b1904b09ed051bdf18

Observation 457037e2-52fe-4f6d-a8ad-c8684c8ec271 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.738272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:1beaeee4bcac624070526ed91f8641fc8d246842d1341b4bbc14fd4dd0ad5cfa

Observation 0f446c8e-90f7-40c6-8d48-a6d36f66cec6 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.750069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:b6107049ff58068d31b0a40e8f63ae268f87cf7df085c174b2e749bfcbefce08

Observation 4c5e635f-4ffb-4e6f-a58e-0d25c4bd49e4 · outbound

This paper cites Shigesada and K.

Invasion with size-dependent dispersion range Shigesada and K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.734104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:2fdf73873ec4c12a5dd9efbc16af90526c650532a6fde867f1717a956a341508

Observation a8729d05-679f-4a29-8132-fab2547c5999 · outbound

This paper cites Shigesada, K.

Invasion with size-dependent dispersion range Shigesada, K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.781329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:f87c419c1e41d98aa31e544077ae3427f63573cffa99f3ac72ea0df515e526f7

Observation 1ba7d1fa-d213-4ae6-90d9-6ec7b732f139 · outbound

This paper cites Shigesada and K.

Invasion with size-dependent dispersion range Shigesada and K

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.753326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:4a8bb666026019a9c91d258934edeaf80b6489c0637fe64c20edbbcc07eb09be

Observation 345ddd61-7634-40b5-9a80-3f8dd17a1644 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.764958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:9789f87d9fe7fc58902ee01c03ccefed8502f3697cb7cca91180d25e69ad8ae1

Observation e108b7f9-c78c-4592-9a2c-11ce28dd79c3 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.774395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:d8e49a50c7647b48e59dd224de72df95886b628127e0153622884ad25b368bcc

Observation 03b212c6-93cd-46fb-8069-58fa3b94a713 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.770106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:b88c3fde73efabb3a51640f193066d3f967c4571fe8e41b41c0be2d216a8ebcf

Observation e21faeca-f6be-4cff-980a-ff9fd5d53049 · outbound

This paper cites Iwata, K.

Invasion with size-dependent dispersion range Iwata, K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.761266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:55bca8e794a8aed6c2cc15c2019304377e1f6355d75d74e81bece86b3d828420

Observation 75f4adea-2725-4a7c-aecb-843c8b6b0669 · outbound

This paper cites Haustein and U.

Invasion with size-dependent dispersion range Haustein and U

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.800565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:3bae8be780152bee2db62539b0a7e675975e8c622447656fb59c94df853df0cd

Observation 940c2e6f-dd30-489a-b214-143e6b794e19 · outbound

This paper cites Marquis and M.

Invasion with size-dependent dispersion range Marquis and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.729644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:a38b94bc00e2a5baa63c2294a23f27c420c30927147d1da270921184ddba11c1

Observation 9d48fd5f-dbf6-427c-ac64-3139112a6789 · outbound

This paper cites Marquis, O.

Invasion with size-dependent dispersion range Marquis, O

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.798321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:4a10152b83c79f07aa677f58e66dfec7b31ffcdaf11ebfbb67c7e8d01016bcf1

Observation 52c84f8e-40a7-4057-aaae-f88b2d189972 · outbound

This paper cites Carra, K.

Invasion with size-dependent dispersion range Carra, K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.789632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:cb1d8f97635221f77f23a83dde8c6d016791f82b728b699a10b5cc734a7506c5

Observation e00229c9-6154-426f-83f5-514cbaa82a48 · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.784199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:392826f3b512a1471d17aa61f9261861e7d2c404c201ebaeaee276c835efc742

Observation d1efe384-646b-4264-bc8e-f57b9f0693ce · outbound

This paper cites an unresolved cited work.

Invasion with size-dependent dispersion range Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:13:20.794702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:203f83e6aaf65e972350a6e60dcf5ebb9b4c8116a5bafa3d7f8926cf46b19578

Observation 042c3f2b-d32e-4928-b88a-102339740a29 · outbound

This paper cites Marquis, H.

Invasion with size-dependent dispersion range Marquis, H

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:13:20.792278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:1e477405f5c7ac36ba81ba688de318c2df56b441084ce96d97c0fd64cf7befb7

Observation daa6a628-fd56-47a1-ae55-003b905582a9 · outbound

This paper cites Beyond dynamic scaling: rare events break universality.

Invasion with size-dependent dispersion range Beyond dynamic scaling: rare events break universality

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-01T12:25:44.318830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T02:01:59.828945Z digest=sha256:b006bd811f5b47dfa1ca98e8553391a2257e7984249b13637dc3b6389456e075

Pith citing papers

No inbound Pith citation observations are available.