Pith Number

pith:6AJTTOTN

pith:2019:6AJTTOTNHTEJAWW4WIFRK4M5UW

not attested not anchored not stored refs pending

Gibbs posterior convergence and the thermodynamic formalism

Andrew Nobel, Kevin McGoff, Sayan Mukherjee

arxiv:1901.08641 v1 · 2019-01-24 · math.ST · math.DS · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AJTTOTNHTEJAWW4WIFRK4M5UW}

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	2026-05-17T23:55:33.516999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01339ba6d3cc8905adcb20b15719da5821ce4a3f0dfdab702a5660bbd013e81

Aliases

arxiv: 1901.08641 · arxiv_version: 1901.08641v1 · doi: 10.48550/arxiv.1901.08641 · pith_short_12: 6AJTTOTNHTEJ · pith_short_16: 6AJTTOTNHTEJAWW4 · pith_short_8: 6AJTTOTN

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/6AJTTOTNHTEJAWW4WIFRK4M5UW \
  | 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: f01339ba6d3cc8905adcb20b15719da5821ce4a3f0dfdab702a5660bbd013e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4c85fc9ed8c65daca966b764cd75191ab01b7e7a8c6a07325325e1cb780b6d",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-01-24T20:51:46Z",
    "title_canon_sha256": "e43e267a32af843947f6cf874d8dda9715b50c6286669f71d94833e4d924db13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08641",
    "kind": "arxiv",
    "version": 1
  }
}