Pith Number

pith:ATY6AJRL

pith:1998:ATY6AJRLAKAZVL3KS53JVNPRTM

not attested not anchored not stored refs pending

The Ising Model on a Quenched Ensemble of c = -5 Gravity Graphs

G. Thorleifsson, K. Anagnostopoulos, P. Bialas

arxiv:cond-mat/9804137 v1 · 1998-04-14 · cond-mat.stat-mech · astro-ph · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATY6AJRLAKAZVL3KS53JVNPRTM}

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	2026-05-18T01:39:30.804106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f1e0262b02819aaf6a97769ab5f19b11f09945f75669304ab17e3fdd728e28

Aliases

arxiv: cond-mat/9804137 · arxiv_version: cond-mat/9804137v1 · doi: 10.48550/arxiv.cond-mat/9804137 · pith_short_12: ATY6AJRLAKAZ · pith_short_16: ATY6AJRLAKAZVL3K · pith_short_8: ATY6AJRL

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/ATY6AJRLAKAZVL3KS53JVNPRTM \
  | 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: 04f1e0262b02819aaf6a97769ab5f19b11f09945f75669304ab17e3fdd728e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8160734548f881367ee2d5cf59910ada72ee9c5c02ec8602a369f7858992c0b5",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-04-14T14:23:09Z",
    "title_canon_sha256": "6bf2c40c06854047ac7c22a0d2caf59163a9b60de2dcee7aab4818a8de9e7e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9804137",
    "kind": "arxiv",
    "version": 1
  }
}