Pith Number

pith:4M3ATSV2

pith:2007:4M3ATSV2TRRY3J4C36DLV5LLOS

not attested not anchored not stored refs pending

Learning and innovative elements of strategy adoption rules expand cooperative network topologies

Changshui Zhang, Mate S. Szalay, Peter Csermely, Shijun Wang

arxiv:0708.2707 v2 · 2007-08-20 · q-bio.MN · cond-mat.dis-nn · nlin.AO · physics.bio-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{4M3ATSV2TRRY3J4C36DLV5LLOS}

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	2026-05-18T04:01:13.540964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33609caba9c638da782df86baf56b74b297490f0befc487717f5f317e5352b7

Aliases

arxiv: 0708.2707 · arxiv_version: 0708.2707v2 · doi: 10.48550/arxiv.0708.2707 · pith_short_12: 4M3ATSV2TRRY · pith_short_16: 4M3ATSV2TRRY3J4C · pith_short_8: 4M3ATSV2

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/4M3ATSV2TRRY3J4C36DLV5LLOS \
  | 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: e33609caba9c638da782df86baf56b74b297490f0befc487717f5f317e5352b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38237ba7c29439b02c9cd78103fb97bada7796c6be30c118b85196abe405d40a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.AO",
      "physics.bio-ph"
    ],
    "license": "",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2007-08-20T16:56:46Z",
    "title_canon_sha256": "e99fbdff0b6794ce45107d6e0d5cb492237b8a0d0bc8abb14801c9cead4b5c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2707",
    "kind": "arxiv",
    "version": 2
  }
}