Pith Number

pith:3JS26ZVI

pith:2000:3JS26ZVI7VSMOQDZ4XS5LGKGCX

not attested not anchored not stored refs pending

Replica symmetry breaking in the minority game

Andrea De Martino, INFM, Italy), Matteo Marsili (SISSA/ISAS, Trieste

arxiv:cond-mat/0007397 v2 · 2000-07-25 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JS26ZVI7VSMOQDZ4XS5LGKGCX}

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	2026-07-04T14:17:56.088402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da65af66a8fd64c74079e5e5d5994615d15ac8967989aea94e7cd9b5b993a1e0

Aliases

arxiv: cond-mat/0007397 · arxiv_version: cond-mat/0007397v2 · doi: 10.48550/arxiv.cond-mat/0007397 · pith_short_12: 3JS26ZVI7VSM · pith_short_16: 3JS26ZVI7VSMOQDZ · pith_short_8: 3JS26ZVI

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/3JS26ZVI7VSMOQDZ4XS5LGKGCX \
  | 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: da65af66a8fd64c74079e5e5d5994615d15ac8967989aea94e7cd9b5b993a1e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e424dfd92a8cf1f8015acccb126130382dc9e30b173a526d08c28e8e9d734b4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2000-07-25T16:28:15Z",
    "title_canon_sha256": "e8ec16af83fa16ef0f5b9b88d50ce16eec85b3df9b059f4fbc128ea8a88ed1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0007397",
    "kind": "arxiv",
    "version": 2
  }
}