Pith Number

pith:OFJBM4XG

pith:2012:OFJBM4XG3INV3VNIVVCITCRUGX

not attested not anchored not stored refs pending

Coexistence and non-coexistence of Markovian viruses and their hosts

Erik I. Broman, Jakob E. Bj\"ornberg

arxiv:1210.7660 v1 · 2012-10-29 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFJBM4XG3INV3VNIVVCITCRUGX}

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	2026-05-18T03:42:09.185701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71521672e6da1b5dd5a8ad44898a3435fb456b5784df9751697c71bdeedb4a6b

Aliases

arxiv: 1210.7660 · arxiv_version: 1210.7660v1 · doi: 10.48550/arxiv.1210.7660 · pith_short_12: OFJBM4XG3INV · pith_short_16: OFJBM4XG3INV3VNI · pith_short_8: OFJBM4XG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OFJBM4XG3INV3VNIVVCITCRUGX \
  | 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: 71521672e6da1b5dd5a8ad44898a3435fb456b5784df9751697c71bdeedb4a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c295f15535b1e33d48426ed542c697873013d67ef9a2af1f3d9f5e4d9197677a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-29T13:37:40Z",
    "title_canon_sha256": "bd21e2c25f6495791ed2a021defc17b37177408e4f6221d83786ae40386cd55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7660",
    "kind": "arxiv",
    "version": 1
  }
}