Pith Number

pith:PBPZL2SW

pith:2012:PBPZL2SWMAWA24WVWK6DFFCZET

not attested not anchored not stored refs pending

Three "quantum" models of competition and cooperation in interacting biological populations and social groups

E. D. Vol

arxiv:1209.5837 v1 · 2012-09-26 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBPZL2SWMAWA24WVWK6DFFCZET}

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	2026-05-18T03:44:46.228110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785f95ea56602c0d72d5b2bc32945924ed7b2e25bc65aacbce55fcb7ad3a93ec

Aliases

arxiv: 1209.5837 · arxiv_version: 1209.5837v1 · doi: 10.48550/arxiv.1209.5837 · pith_short_12: PBPZL2SWMAWA · pith_short_16: PBPZL2SWMAWA24WV · pith_short_8: PBPZL2SW

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/PBPZL2SWMAWA24WVWK6DFFCZET \
  | 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: 785f95ea56602c0d72d5b2bc32945924ed7b2e25bc65aacbce55fcb7ad3a93ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b605390eab7232390eacd7a713089ac24dddf04edb243d6e51269c18515dab7",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-09-26T06:06:47Z",
    "title_canon_sha256": "57f432981dc1fa7799b07cb386af514143e4de85a552a7cb5f3ecb572abed194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5837",
    "kind": "arxiv",
    "version": 1
  }
}