Pith Number

pith:FNQFHJ65

pith:2018:FNQFHJ656IBBSJBQYNZE7FPV4T

not attested not anchored not stored refs pending

Limit shapes for Gibbs ensembles of partitions

Ibrahim Fatkullin, Valeriy Slastikov

arxiv:1801.00812 v2 · 2018-01-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNQFHJ656IBBSJBQYNZE7FPV4T}

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	2026-05-18T00:08:10.678025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6053a7ddf202192430c3724f95f5e4e59647d99c17b16fb764b9208e2bac23

Aliases

arxiv: 1801.00812 · arxiv_version: 1801.00812v2 · doi: 10.48550/arxiv.1801.00812 · pith_short_12: FNQFHJ656IBB · pith_short_16: FNQFHJ656IBBSJBQ · pith_short_8: FNQFHJ65

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/FNQFHJ656IBBSJBQYNZE7FPV4T \
  | 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: 2b6053a7ddf202192430c3724f95f5e4e59647d99c17b16fb764b9208e2bac23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db93e885fcd857cf5ad81e10935d8ea343ad69bba4fc18b4ff3e6fe84364a8f4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-02T19:31:37Z",
    "title_canon_sha256": "ea6bf4b45c3a07083a3b3b4047cd677a3d6a4c9a411623470bbe65c60f94a897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00812",
    "kind": "arxiv",
    "version": 2
  }
}