Pith Number

pith:7GZHZC4E

pith:2005:7GZHZC4EHOSBO4KBYGJFPJULPI

not attested not anchored not stored refs pending

On Inhomogeneous $p$-Adic Potts Model on a Cayley Tree

Farrukh Mukhamedov, Utkir Rozikov

arxiv:math-ph/0510024 v2 · 2005-10-06 · 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{7GZHZC4EHOSBO4KBYGJFPJULPI}

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	2026-05-18T02:35:38.685001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b27c8b843ba4177141c19257a68b7a0bec64ff711bd320373ab2d5d0541494

Aliases

arxiv: math-ph/0510024 · arxiv_version: math-ph/0510024v2 · doi: 10.48550/arxiv.math-ph/0510024 · pith_short_12: 7GZHZC4EHOSB · pith_short_16: 7GZHZC4EHOSBO4KB · pith_short_8: 7GZHZC4E

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/7GZHZC4EHOSBO4KBYGJFPJULPI \
  | 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: f9b27c8b843ba4177141c19257a68b7a0bec64ff711bd320373ab2d5d0541494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3e70bfcfd9618854b41eb3a5f2d676f95ad9767c6f16a8e497ffd287fb3a20",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-10-06T14:12:22Z",
    "title_canon_sha256": "ddb3d173a66eaba4e977d29e484b935243f5fafafe1af70a085cea9e337ea49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0510024",
    "kind": "arxiv",
    "version": 2
  }
}