Pith Number

pith:NJMVEKBM

pith:2013:NJMVEKBMG3IDSMGZJ3VVLQRTM6

not attested not anchored not stored refs pending

Optimal interdependence between networks for the evolution of cooperation

Attila Szolnoki, Matjaz Perc, Zhen Wang

arxiv:1308.4969 v1 · 2013-08-22 · physics.soc-ph · cond-mat.stat-mech · cs.SI · 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{NJMVEKBMG3IDSMGZJ3VVLQRTM6}

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	2026-05-18T03:15:19.188660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a5952282c36d03930d94eeb55c23367a9528ac27c4a72c39399fa1acfc80019

Aliases

arxiv: 1308.4969 · arxiv_version: 1308.4969v1 · doi: 10.48550/arxiv.1308.4969 · pith_short_12: NJMVEKBMG3ID · pith_short_16: NJMVEKBMG3IDSMGZ · pith_short_8: NJMVEKBM

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/NJMVEKBMG3IDSMGZJ3VVLQRTM6 \
  | 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: 6a5952282c36d03930d94eeb55c23367a9528ac27c4a72c39399fa1acfc80019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0585e92056c993e09eb2e1465f9140d900cac284f50aec88d4047a7265573935",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-08-22T19:56:14Z",
    "title_canon_sha256": "ca78dc01f881803b876597d31c35b34661b6ed82435a387180b8ba05b179593d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4969",
    "kind": "arxiv",
    "version": 1
  }
}