Pith. sign in

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

source=pdf_text observed=2026-08-12T16:54:27.892397Z digest=sha256:c00ddbe7522d9e35f448dfe634a0049a78dac5f439856dff39f4987d105e9d4f

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

source=pdf_text observed=2026-08-12T16:54:27.896957Z digest=sha256:7c73b7f312f7b537d7ed7d1d2e337cfb858aa87b6960ce02953aec9d0fb96a25

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

source=pdf_text observed=2026-08-12T16:54:27.900823Z digest=sha256:fe545757948feeefb0daa1cacee8e31b3664b91f07cdb6732c5d4053b6442000

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

source=pdf_text observed=2026-08-12T16:54:27.907616Z digest=sha256:aa28f636c4547a5c81e2ac3c83a5aaf79637fd7e4875ac884d79677d9d734af3

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

source=pdf_text observed=2026-08-12T16:54:27.912146Z digest=sha256:d2572453614c67e3945c235f9afd2055a63ca16878ad08ae827c1dce3a36d69f

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

source=pdf_text observed=2026-08-12T16:54:27.915830Z digest=sha256:117e2ed36c237f189722d4ec488694fc1c7be92d990199c5f8755c20df0610c8

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

source=pdf_text observed=2026-08-12T16:54:27.919943Z digest=sha256:69d312cca585b0a7c6312cfb2aa33de7ff5237d5f731f33e3cba40fb33e48513

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

source=pdf_text observed=2026-08-12T16:54:27.924083Z digest=sha256:e630099303933bb12df5abb9d99b8f341d02caa5ff0f2c5f50f47bd7545a8961

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

source=pdf_text observed=2026-08-12T16:54:27.927838Z digest=sha256:6a97e96ab012b8767d20d6143f2ea20cb634b2e92bcd5ccf3e21e09bce78e602

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

source=pdf_text observed=2026-08-12T16:54:27.932059Z digest=sha256:918b64733fd54bb673d345dc92e66f3f46db72b7d72b2d162c10a4f8ba53032a

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

source=pdf_text observed=2026-08-12T16:54:27.936039Z digest=sha256:26648159694bb9633e11bd8ab8f62f54b24a27897897dbab388c44a734c664d3

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

source=pdf_text observed=2026-08-12T16:54:27.939500Z digest=sha256:7024ce174ba1e9a13932a9cc20602e256b10ecbb3ed34b5d368458210d9de676

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

source=pdf_text observed=2026-08-12T16:54:27.943301Z digest=sha256:1c40a445d759a4be011d8a6e1baf375015aa0d7efb05bd1f4fad838aff123572

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

source=pdf_text observed=2026-08-12T16:54:27.946706Z digest=sha256:084b124fb599bc9ee22cb1fc6eedf27c82a390616992668ac43e909cb35a74b2

Pith citing papers

No inbound Pith citation observations are available.