Pith Number

pith:2BTPGIUN

pith:2012:2BTPGIUNG6IQQWI75U53NT3CDF

not attested not anchored not stored refs pending

Coupled dynamics of mobility and pattern formation in optional public goods games

Li-Xin Zhong, Tian Qiu, Wen-Juan Xu, Yong-Dong Shi

arxiv:1207.2802 v2 · 2012-07-11 · 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{2BTPGIUNG6IQQWI75U53NT3CDF}

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	2026-05-18T01:56:24.729991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d066f3228d379108591fed3bb6cf6219724c798980c2b64b6f65a33e4670c3a7

Aliases

arxiv: 1207.2802 · arxiv_version: 1207.2802v2 · doi: 10.48550/arxiv.1207.2802 · pith_short_12: 2BTPGIUNG6IQ · pith_short_16: 2BTPGIUNG6IQQWI7 · pith_short_8: 2BTPGIUN

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/2BTPGIUNG6IQQWI75U53NT3CDF \
  | 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: d066f3228d379108591fed3bb6cf6219724c798980c2b64b6f65a33e4670c3a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe40b22c2d1ca71134dbd09f1e81aa1c3158731d721bc4bd0535fb0d46899a8c",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-07-11T22:18:25Z",
    "title_canon_sha256": "9862aa947a2d4f78874efbbd87fc8d5d87b35e931d73be76df0197eec0179782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2802",
    "kind": "arxiv",
    "version": 2
  }
}