Pith Number

pith:UMRS6DKR

pith:2011:UMRS6DKRAZGIUNUWSUMIZLTYBM

not attested not anchored not stored refs pending

Evolution of cooperation in multilevel public goods games with community structures

Bin Wu, Daniel W. C. Ho, Jing Wang, Long Wang

arxiv:1103.0342 v1 · 2011-03-02 · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMRS6DKRAZGIUNUWSUMIZLTYBM}

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	2026-05-18T02:03:01.300258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3232f0d51064c8a369695188cae780b2e31fd5012a76d711209ef5c77053697

Aliases

arxiv: 1103.0342 · arxiv_version: 1103.0342v1 · doi: 10.48550/arxiv.1103.0342 · pith_short_12: UMRS6DKRAZGI · pith_short_16: UMRS6DKRAZGIUNUW · pith_short_8: UMRS6DKR

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/UMRS6DKRAZGIUNUWSUMIZLTYBM \
  | 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: a3232f0d51064c8a369695188cae780b2e31fd5012a76d711209ef5c77053697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2042aa8a58bd10d5ff987f1feeb1a026428e99c0d2c5b4d0aa8d9ae6316963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-03-02T03:30:50Z",
    "title_canon_sha256": "642f3ced1e28129d176f144210501fb3211bdf69e6cb1faad7c5498dad0afb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0342",
    "kind": "arxiv",
    "version": 1
  }
}