Pith Number

pith:COMXRQ5Q

pith:2010:COMXRQ5QA7KHBHX4BFG7N6P3NB

not attested not anchored not stored refs pending

Evolution of Cooperation among Mobile Agents

Jian-Xi Gao, Xiao-Ming Xu, Yun-Ze Cai, Zhuo Chen

arxiv:1006.0772 v2 · 2010-06-04 · 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{COMXRQ5QA7KHBHX4BFG7N6P3NB}

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	2026-05-18T04:28:20.267359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139978c3b007d4709efc094df6f9fb685fbef19a304443db61b9de894a6163dc

Aliases

arxiv: 1006.0772 · arxiv_version: 1006.0772v2 · doi: 10.48550/arxiv.1006.0772 · pith_short_12: COMXRQ5QA7KH · pith_short_16: COMXRQ5QA7KHBHX4 · pith_short_8: COMXRQ5Q

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/COMXRQ5QA7KHBHX4BFG7N6P3NB \
  | 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: 139978c3b007d4709efc094df6f9fb685fbef19a304443db61b9de894a6163dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2521b3eb101cabb8ab8d1b11925905084812a9e2fbb721cd9292c7137316cc1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-06-04T02:48:52Z",
    "title_canon_sha256": "03fca5081b994579e4993336178f60b08701ecc7747094768318b50d3c1d93d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0772",
    "kind": "arxiv",
    "version": 2
  }
}