Pith Number

pith:4GPCQAWG

pith:2013:4GPCQAWGSC2UHW5JC6YHUMOEI3

not attested not anchored not stored refs pending

Evolutionary games with facilitators: When does selection favor cooperation?

Mauro Mobilia

arxiv:1307.4375 v2 · 2013-07-16 · q-bio.PE · cond-mat.stat-mech · nlin.AO · 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{4GPCQAWGSC2UHW5JC6YHUMOEI3}

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	2026-05-18T03:07:23.097890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19e2802c690b543dba917b07a31c446e5a4e241cbdcfc433beb55edc363fdae

Aliases

arxiv: 1307.4375 · arxiv_version: 1307.4375v2 · doi: 10.48550/arxiv.1307.4375 · pith_short_12: 4GPCQAWGSC2U · pith_short_16: 4GPCQAWGSC2UHW5J · pith_short_8: 4GPCQAWG

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/4GPCQAWGSC2UHW5JC6YHUMOEI3 \
  | 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: e19e2802c690b543dba917b07a31c446e5a4e241cbdcfc433beb55edc363fdae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167f3e64b4b06c866135ed6380fde6200dc53631a58d896d3fbf85dfd212ae4e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.AO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-07-16T18:50:31Z",
    "title_canon_sha256": "73cbf10284388d954ec2e1aa8130f81a315a546d535d54fbb8e5b5b88ef9b9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4375",
    "kind": "arxiv",
    "version": 2
  }
}