pith. sign in
Pith Number

pith:NS2QYOWX

pith:2013:NS2QYOWX7KJCU4P6PDQSS6XPSW
not attested not anchored not stored refs pending

Cooperation in changing environments: Irreversibility in the transition to cooperation in networks

C. Gracia-L\'azaro, J. G\'omez-Garde\~nes, L.M. Flor\'ia, Y. Moreno

arxiv:1308.1133 v2 · 2013-08-05 · physics.soc-ph · nlin.AO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NS2QYOWX7KJCU4P6PDQSS6XPSW}

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 2026-05-18T01:48:23.451257Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6cb50c3ad7fa922a71fe78e1297aef959dce9a39451d260b5482b01f0dfe647c

Aliases

arxiv: 1308.1133 · arxiv_version: 1308.1133v2 · doi: 10.48550/arxiv.1308.1133 · pith_short_12: NS2QYOWX7KJC · pith_short_16: NS2QYOWX7KJCU4P6 · pith_short_8: NS2QYOWX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NS2QYOWX7KJCU4P6PDQSS6XPSW \
  | 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: 6cb50c3ad7fa922a71fe78e1297aef959dce9a39451d260b5482b01f0dfe647c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c039ff3e93f80651f5917ce0d158486a85c8ec8eb87488aefb291aa6ee48b2fa",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-08-05T21:53:16Z",
    "title_canon_sha256": "ba2f94316df0e7e4f8430e6604a801489263b15e4b4edef2afdcfb2e15a51b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1133",
    "kind": "arxiv",
    "version": 2
  }
}