Pith Number

pith:VFDWAQK2

pith:2014:VFDWAQK22ZB3HWQPFKTMHXRWBO

not attested not anchored not stored refs pending

$p$-adic quasi Gibbs measure for Vannimenus model on a Cayley tree

Otabek Khakimov

arxiv:1402.3322 v1 · 2014-02-12 · math-ph · math.FA · 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{VFDWAQK22ZB3HWQPFKTMHXRWBO}

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	2026-05-18T01:44:38.301334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94760415ad643b3da0f2aa6c3de360b85d452efaa1dcc24bfcd0eebf33f4a0b

Aliases

arxiv: 1402.3322 · arxiv_version: 1402.3322v1 · doi: 10.48550/arxiv.1402.3322 · pith_short_12: VFDWAQK22ZB3 · pith_short_16: VFDWAQK22ZB3HWQP · pith_short_8: VFDWAQK2

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/VFDWAQK22ZB3HWQPFKTMHXRWBO \
  | 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: a94760415ad643b3da0f2aa6c3de360b85d452efaa1dcc24bfcd0eebf33f4a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e0c5d87a5d54518eb6a493f2db5c84b5552514dafd7b96d144d1d8d6911cbd",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-12T17:20:23Z",
    "title_canon_sha256": "c5aed330837e1da1e6de62771b34c7e527c530639f0e61214fb06860208fcb4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3322",
    "kind": "arxiv",
    "version": 1
  }
}