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Paper Citation Record · LEDGER

The impact of recovery rate heterogeneity in achieving herd immunity

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2411.13130.

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

pith.paper-citation-record.v1
2411.13130 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:54:27.946706Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fabbaaeb-1316-4c5d-a86c-1443ecad212e · outbound

This paper cites Final size and convergence rate for an epidemic in heterogeneous populations.

The impact of recovery rate heterogeneity in achieving herd immunity Final size and convergence rate for an epidemic in heterogeneous populations

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.151575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.892397Z digest=sha256:193c78d83901c441e1caf3ecb102cbe11a8f8041259806f3d0e10ba1b7c21716

Observation 5f7c3712-98fa-429d-8394-4306ae5ef65a · outbound

This paper cites Anderson and Robert M.

The impact of recovery rate heterogeneity in achieving herd immunity Anderson and Robert M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.140220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.896957Z digest=sha256:a18ba6b968d900e2b89e9ed993cdbc1bc2f6ad8e314feeb19c9551bb8f600838

Observation 2585909d-37be-4f81-9083-596b0338ca77 · outbound

This paper cites Weitz, and Jean-Marc Oury.

The impact of recovery rate heterogeneity in achieving herd immunity Weitz, and Jean-Marc Oury

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.128660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.900823Z digest=sha256:915fe9481279730d680e06bdb8c13946c1688e244f05b7a3f394bef3d0b3a229

Observation 36b7cf5c-054d-4803-bb3e-36cea09a9399 · outbound

This paper cites A mathematical model re- veals the influence of population heterogeneity on herd immunity to SARS- CoV-2.

The impact of recovery rate heterogeneity in achieving herd immunity A mathematical model re- veals the influence of population heterogeneity on herd immunity to SARS- CoV-2

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.116617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.907616Z digest=sha256:9f43c317d3c2d32eb011465e62f46906166cc0462b55c78ddc5c5cf102ca58a9

Observation fa8f6538-1f28-4343-aa9a-335fa41eeabe · outbound

This paper cites Rodrigues, and Yamir Moreno.

The impact of recovery rate heterogeneity in achieving herd immunity Rodrigues, and Yamir Moreno

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.104849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.912146Z digest=sha256:06c209f897895d366d990e87a122bee7d6414d959acafd39676468710cb520c6

Observation e4c5dd99-d055-47ca-b616-030898c066e9 · outbound

This paper cites How heterogeneous susceptibility and recovery rates affect the spread of epidemics on networks.

The impact of recovery rate heterogeneity in achieving herd immunity How heterogeneous susceptibility and recovery rates affect the spread of epidemics on networks

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.092620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.915830Z digest=sha256:73030e53018d5d20ecaf3eb0c7447fc44efb91aa98cfa31b0fb5703d28dbbc44

Observation 08a947a8-0085-4473-a4c6-88d5489bc58c · outbound

This paper cites SIR Model with Stochastic Transmission.

The impact of recovery rate heterogeneity in achieving herd immunity SIR Model with Stochastic Transmission

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:54:27.988659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.919943Z digest=sha256:41e61726d06c4f283e4fd7ee94122c3d0ebb66613a4f59a3dd110e3df8f28202

Observation 716d633e-563b-4f70-b2c4-4cd11f0b594b · outbound

This paper cites Heterogene- ity matters: Contact structure and individual variation shape epidemic dynamics.

The impact of recovery rate heterogeneity in achieving herd immunity Heterogene- ity matters: Contact structure and individual variation shape epidemic dynamics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.080152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.924083Z digest=sha256:f92ed81531af3ec2988dfcf1675549e554229b415237574e35be431c7f2c9713

Observation c0c1d184-1dcb-4baf-abcc-a4404b6634f3 · outbound

This paper cites Keeling and Pejman Rohani.

The impact of recovery rate heterogeneity in achieving herd immunity Keeling and Pejman Rohani

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.067992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.927838Z digest=sha256:4d77b580ac786ea40e39dc0de259737b2ea0cbbbfb6a6a501e7259030cfb661d

Observation 0c384b12-2969-4edf-abda-ba4793d7d8a8 · outbound

This paper cites Kermack and Anderson G.

The impact of recovery rate heterogeneity in achieving herd immunity Kermack and Anderson G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.056258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.932059Z digest=sha256:19328ac545e8bcdd3b2b6802dad1a9a4271a25afc03a1370ec44446546c4acba

Observation 17ae6486-b6b5-4a33-a4cb-c4230c2045f1 · outbound

This paper cites The dynamics of epidemiological systems with nonautonomous and random coefficients.

The impact of recovery rate heterogeneity in achieving herd immunity The dynamics of epidemiological systems with nonautonomous and random coefficients

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.043436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.936039Z digest=sha256:bd4febd6c86e6fd1b9b981fb7987e1a607723a792e0c512445bb95aaf3a0959f

Observation 1212ceec-bde9-4814-a013-987760479119 · outbound

This paper cites an unresolved cited work.

The impact of recovery rate heterogeneity in achieving herd immunity Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:54:28.030380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.939500Z digest=sha256:4833f1c8c9447d714eb82d139db622fad3612425e89b44043cc2d5b4cdeb18c0

Observation a25f577b-0b46-450d-8ddc-3284ce79681b · outbound

This paper cites an unresolved cited work.

The impact of recovery rate heterogeneity in achieving herd immunity Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:54:28.018740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.943301Z digest=sha256:8f690f7bc957c8efed32f5944c5b65e4e065924c4e5692081bbd3788c1de82b5

Observation 45a1dd41-38ae-4ff0-b23b-ae3b5c7b33f4 · outbound

This paper cites Novozhilov.

The impact of recovery rate heterogeneity in achieving herd immunity Novozhilov

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:54:28.002977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:54:27.946706Z digest=sha256:098e44f454790be5afe2db5781cc7179f22f655bb2819e076ef892c11f5e79b8

Pith citing papers

No inbound Pith citation observations are available.