Pith Number

pith:5EXO25WN

pith:2012:5EXO25WNJHPE5AB64G5FQLOUHT

not attested not anchored not stored refs pending

Characterizing partition functions of the spin model by rank growth

Alexander Schrijver

arxiv:1209.5044 v1 · 2012-09-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EXO25WNJHPE5AB64G5FQLOUHT}

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	2026-05-18T03:44:59.406183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92eed76cd49de4e803ee1ba582dd43cc17651e85b013c7514b8b2a6c8441a0d

Aliases

arxiv: 1209.5044 · arxiv_version: 1209.5044v1 · doi: 10.48550/arxiv.1209.5044 · pith_short_12: 5EXO25WNJHPE · pith_short_16: 5EXO25WNJHPE5AB6 · pith_short_8: 5EXO25WN

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/5EXO25WNJHPE5AB64G5FQLOUHT \
  | 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: e92eed76cd49de4e803ee1ba582dd43cc17651e85b013c7514b8b2a6c8441a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b53773b94df791ef6aa30be00f849347c8fb4c5f7af8747ef9fad30622a0493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-23T09:33:56Z",
    "title_canon_sha256": "94d8ff57dc11f89b7e297b5279af31c59a98cea5e79ab4425cd8925c6c55e89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5044",
    "kind": "arxiv",
    "version": 1
  }
}