Pith Number

pith:M3XGAJHY

pith:1999:M3XGAJHYUGA7BIXA6Z4HTJ65U2

not attested not anchored not stored refs pending

Exact Solution of a Vertex Model with Unlimited Number of States Per Bond

F. C. Alcaraz, R. Z. Bariev

arxiv:cond-mat/9904040 v1 · 1999-04-02 · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3XGAJHYUGA7BIXA6Z4HTJ65U2}

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	2026-05-18T01:07:04.785160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ee6024f8a181f0a2e0f67879a7dda6930af74a7059e63203525b18efb0380b

Aliases

arxiv: cond-mat/9904040 · arxiv_version: cond-mat/9904040v1 · doi: 10.48550/arxiv.cond-mat/9904040 · pith_short_12: M3XGAJHYUGA7 · pith_short_16: M3XGAJHYUGA7BIXA · pith_short_8: M3XGAJHY

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/M3XGAJHYUGA7BIXA6Z4HTJ65U2 \
  | 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: 66ee6024f8a181f0a2e0f67879a7dda6930af74a7059e63203525b18efb0380b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071bcd637dfb903256cbd52ba385aba362400b4a0e168cb9b6ac2ba863bd8caf",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-04-02T11:13:54Z",
    "title_canon_sha256": "3537c6ab6dde5c4c33bccf7e7f079ddda1c9f5636726d21cda0d41d105164ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9904040",
    "kind": "arxiv",
    "version": 1
  }
}