Pith Number

pith:FPTBHVAF

pith:2012:FPTBHVAFFLW2D3KQVJE2MLYO4A

not attested not anchored not stored refs pending

Ergodicity of the action of K* on A_K

Jeffrey C. Lagarias, Sergey Neshveyev

arxiv:1211.3256 v2 · 2012-11-14 · math.NT · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPTBHVAFFLW2D3KQVJE2MLYO4A}

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	2026-05-18T01:32:44.001625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be613d4052aeda1ed50aa49a62f0ee02aec38a0254e0a07fcba4f3c42b06bf8

Aliases

arxiv: 1211.3256 · arxiv_version: 1211.3256v2 · doi: 10.48550/arxiv.1211.3256 · pith_short_12: FPTBHVAFFLW2 · pith_short_16: FPTBHVAFFLW2D3KQ · pith_short_8: FPTBHVAF

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/FPTBHVAFFLW2D3KQVJE2MLYO4A \
  | 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: 2be613d4052aeda1ed50aa49a62f0ee02aec38a0254e0a07fcba4f3c42b06bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faad69efc18694f850c55dff1d81a5b4f8801b0608831c61ea9672e2ab05b17d",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-14T10:04:13Z",
    "title_canon_sha256": "25dea4b1797a5b0eecd017d704b8a2cc118e10ad1dd7e01b85d43e6273142de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3256",
    "kind": "arxiv",
    "version": 2
  }
}