Pith. sign in
Pith Number

pith:3EISARLO

pith:2022:3EISARLO5HLIP7ZOLR722NNB3S
not attested not anchored not stored refs pending

The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19

Bruce Pell, Fuqing Wu, Samantha Brozak, Tin Phan, Yang Kuang

arxiv:2209.07563 v2 · 2022-09-15 · q-bio.PE · math.DS · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3EISARLO5HLIP7ZOLR722NNB3S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
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.
Receipt and verification
First computed 2026-07-05T05:42:01.577948Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d91120456ee9d687ff2e5c7fad35a1dc9131bbea64633b67c409ac3269734a46

Aliases

arxiv: 2209.07563 · arxiv_version: 2209.07563v2 · doi: 10.48550/arxiv.2209.07563 · pith_short_12: 3EISARLO5HLI · pith_short_16: 3EISARLO5HLIP7ZO · pith_short_8: 3EISARLO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3EISARLO5HLIP7ZOLR722NNB3S \
  | 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: d91120456ee9d687ff2e5c7fad35a1dc9131bbea64633b67c409ac3269734a46
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "83532c82210b4fab9e400185dbd11359328a0fd6436622e48d94dc72ebf16046",
    "cross_cats_sorted": [
      "math.DS",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2022-09-15T19:02:19Z",
    "title_canon_sha256": "4f00149ca5cf60914ff025d17d55e2ba0260e3c4f7b4f828f13cfa4d3d8020d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07563",
    "kind": "arxiv",
    "version": 2
  }
}