Pith Number

pith:ZYZLQQIV

pith:2014:ZYZLQQIVLABGKTYXGZ5HWKWG4N

not attested not anchored not stored refs pending

Population fluctuation promotes cooperation in networks

Joshua Knowles, Steve Miller

arxiv:1407.8032 v4 · 2014-07-30 · cs.GT · cs.NE · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYZLQQIVLABGKTYXGZ5HWKWG4N}

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	2026-05-18T01:15:23.956248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce32b841155802654f17367a7b2ac6e37dafcfd350e7a15b27b9a9b58b0a48d2

Aliases

arxiv: 1407.8032 · arxiv_version: 1407.8032v4 · doi: 10.48550/arxiv.1407.8032 · pith_short_12: ZYZLQQIVLABG · pith_short_16: ZYZLQQIVLABGKTYX · pith_short_8: ZYZLQQIV

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/ZYZLQQIVLABGKTYXGZ5HWKWG4N \
  | 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: ce32b841155802654f17367a7b2ac6e37dafcfd350e7a15b27b9a9b58b0a48d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fc75f6de2257d04696cd2ca58cd6f97032e357e078167a5af2999cfb22121b",
    "cross_cats_sorted": [
      "cs.NE",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-07-30T13:15:41Z",
    "title_canon_sha256": "842c00196f7d25e1d5694dabd3c8b1cb0e2d1008bfbbf8924b01b8ef40830295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8032",
    "kind": "arxiv",
    "version": 4
  }
}