Pith Number

pith:GE7736AY

pith:2006:GE7736AYZLPQH5NWHILNPKRJYE

not attested not anchored not stored refs pending

Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point

Marius Costeniuc, Peter Tak-Hun Otto, Richard S. Ellis

arxiv:cond-mat/0609469 v1 · 2006-09-19 · 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{GE7736AYZLPQH5NWHILNPKRJYE}

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	2026-05-18T01:39:43.224936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313ffdf818cadf03f5b63a16d7aa29c1054332e982779042ff92b815df08e743

Aliases

arxiv: cond-mat/0609469 · arxiv_version: cond-mat/0609469v1 · doi: 10.48550/arxiv.cond-mat/0609469 · pith_short_12: GE7736AYZLPQ · pith_short_16: GE7736AYZLPQH5NW · pith_short_8: GE7736AY

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/GE7736AYZLPQH5NWHILNPKRJYE \
  | 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: 313ffdf818cadf03f5b63a16d7aa29c1054332e982779042ff92b815df08e743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f2af47ce5a90abdb33022644b3bfd51dcc59cb2cae328a4465f3701d66d6e83",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-09-19T17:32:38Z",
    "title_canon_sha256": "915369b35ce752734526a5cc72b7ce3362b37ce10c680e3eaf84570a635e410b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609469",
    "kind": "arxiv",
    "version": 1
  }
}