Pith Number

pith:Y7PA3LLS

pith:2016:Y7PA3LLSWCTRHUMGHMWSDXISNL

not attested not anchored not stored refs pending

Chaotic behavior of the $P$-adic Potts-Bethe mapping

Farrukh Mukhamedov, Otabek Khakimov

arxiv:1701.00127 v1 · 2016-12-31 · math.DS · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7PA3LLSWCTRHUMGHMWSDXISNL}

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	2026-05-18T00:36:47.721561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7de0dad72b0a713d1863b2d21dd126afb4d719427be84bafa5f39a39fc6dd75

Aliases

arxiv: 1701.00127 · arxiv_version: 1701.00127v1 · doi: 10.48550/arxiv.1701.00127 · pith_short_12: Y7PA3LLSWCTR · pith_short_16: Y7PA3LLSWCTRHUMG · pith_short_8: Y7PA3LLS

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/Y7PA3LLSWCTRHUMGHMWSDXISNL \
  | 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: c7de0dad72b0a713d1863b2d21dd126afb4d719427be84bafa5f39a39fc6dd75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f6b257af0979b87390b3b0b53000d9c352381da0df89e04fb59b9358874c73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-31T15:59:18Z",
    "title_canon_sha256": "39e8c1ccb7e4b8942b432431f3f2187a11d67b412d60e5e54bede5560a2d9cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00127",
    "kind": "arxiv",
    "version": 1
  }
}