Pith Number

pith:ZN5GZUPR

pith:2026:ZN5GZUPRWG5VVAM2EMQMO7JH23

not attested not anchored not stored refs resolved

A method for including socio-demographic factors in social contact matrices for compartment-based epidemic models

Leighton Watson, Michael Plank, Tim Chambers, Vincent X. Lomas

A method stratifies existing social contact matrices with an extra socio-demographic factor using population structure data and mixing-rate assumptions.

arxiv:2605.13870 v1 · 2026-05-04 · physics.soc-ph · q-bio.PE

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\usepackage{pith}
\pithnumber{ZN5GZUPRWG5VVAM2EMQMO7JH23}

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The inclusion of the additional factor has a big impact on the model reproduction number and final epidemic size. We find that minority group epidemic outcomes are most sensitive to variation in model parameter values.

C2weakest assumption

assumptions about the aggregate mixing rates within and between groups

C3one line summary

A stratification method adds socio-demographic factors to age contact matrices for epidemic models, substantially altering reproduction numbers and final sizes in projections for New Zealand's age-ethnic structure.

References

25 extracted · 25 resolved · 0 Pith anchors

[1] A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2 2020 · doi:10.1126/science.ab

[2] Incorpo- rating social vulnerability in infectious disease mathematical modelling: a scoping review 2024 · doi:10.1186/s12916-024-03333-y

[3] Age Differences in Daily Social Activities 2013 · doi:10.1177/0164027512453468

[4] American Journal of Epidemiology , author = 2006 · doi:10.1093/aje/kwj317

[5] Improving the Use of Social Contact Studies in Epidemic Modeling 2025

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:19.333668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7a6cd1f1b1bb5a819a2320c77d27d6cef80d0bb61b3ac763ad907458f35f67

Aliases

arxiv: 2605.13870 · arxiv_version: 2605.13870v1 · doi: 10.48550/arxiv.2605.13870 · pith_short_12: ZN5GZUPRWG5V · pith_short_16: ZN5GZUPRWG5VVAM2 · pith_short_8: ZN5GZUPR

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZN5GZUPRWG5VVAM2EMQMO7JH23 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cb7a6cd1f1b1bb5a819a2320c77d27d6cef80d0bb61b3ac763ad907458f35f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9066ff040f400e6c46153ef8b8e86f26986d4c54fc1ae2cf5ac8b3b2c03e36ad",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-04T22:23:59Z",
    "title_canon_sha256": "2cf2362c2bd5531e57490b2a5f68b0191942d5b689268c3314843737f977b672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13870",
    "kind": "arxiv",
    "version": 1
  }
}