Pith Number

pith:GDUBOCOY

pith:2008:GDUBOCOYBZNXEFIRFXUUMS5UIR

not attested not anchored not stored refs pending

Extended Pair Approximation of Evolutionary Game on Complex Networks

Satoru Morita

arxiv:0801.1713 v1 · 2008-01-11 · physics.soc-ph · physics.comp-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{GDUBOCOYBZNXEFIRFXUUMS5UIR}

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	2026-05-18T01:27:16.211285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e81709d80e5b7215112de9464bb4445ba5178e1e7c56b2921b91eb2df1cf53

Aliases

arxiv: 0801.1713 · arxiv_version: 0801.1713v1 · doi: 10.48550/arxiv.0801.1713 · pith_short_12: GDUBOCOYBZNX · pith_short_16: GDUBOCOYBZNXEFIR · pith_short_8: GDUBOCOY

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/GDUBOCOYBZNXEFIRFXUUMS5UIR \
  | 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: 30e81709d80e5b7215112de9464bb4445ba5178e1e7c56b2921b91eb2df1cf53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4860b40a6ded3c0ce59849371a7fcd5e75b41d1786605ab7889fdbb63594271a",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2008-01-11T02:50:55Z",
    "title_canon_sha256": "ba59f31dd3d0d0cd80ea46c6fbfa91ada21c80b9654a72affa42f1887ea92100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1713",
    "kind": "arxiv",
    "version": 1
  }
}