pith. sign in
Pith Number

pith:SF5DEAYG

pith:2007:SF5DEAYGU2ULVWQXIK2XN3NKAO
not attested not anchored not stored refs pending

Rounding of first-order phase transitions and optimal cooperation in scale-free networks

F. Igl\'oi, J-Ch. Angl\`es d'Auriac, M. Karsai

arxiv:0704.1538 v1 · 2007-04-12 · cond-mat.stat-mech · cond-mat.dis-nn · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SF5DEAYGU2ULVWQXIK2XN3NKAO}

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 2026-05-18T04:42:34.649110Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

917a320306a6a8bada1742b576edaa03ad233c31e400dcd66a07f2aab29e74b5

Aliases

arxiv: 0704.1538 · arxiv_version: 0704.1538v1 · doi: 10.48550/arxiv.0704.1538 · pith_short_12: SF5DEAYGU2UL · pith_short_16: SF5DEAYGU2ULVWQX · pith_short_8: SF5DEAYG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SF5DEAYGU2ULVWQXIK2XN3NKAO \
  | 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: 917a320306a6a8bada1742b576edaa03ad233c31e400dcd66a07f2aab29e74b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "641dd15ae0250d75df671ec497a63cbf05774cce17652c5f5ef3c524ad5a0ff4",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.soc-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-04-12T07:55:50Z",
    "title_canon_sha256": "f50588c608bf236df2d67bf169600d61cf77d32a3a8f1eb865d02ffd6f04c388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1538",
    "kind": "arxiv",
    "version": 1
  }
}