Pith Number

pith:MXQDZ6GN

pith:2015:MXQDZ6GNIWUTUI3VPLLR4PFGEU

not attested not anchored not stored refs pending

Thermodynamic formalism and Substitutions

Nicolas Bedaride, Pascal Hubert, Renaud Leplaideur

arxiv:1511.03322 v2 · 2015-11-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXQDZ6GNIWUTUI3VPLLR4PFGEU}

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	2026-05-17T23:56:43.269163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e03cf8cd45a93a23757ad71e3ca625251a80284325fb5da8378602a5cc6008

Aliases

arxiv: 1511.03322 · arxiv_version: 1511.03322v2 · doi: 10.48550/arxiv.1511.03322 · pith_short_12: MXQDZ6GNIWUT · pith_short_16: MXQDZ6GNIWUTUI3V · pith_short_8: MXQDZ6GN

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/MXQDZ6GNIWUTUI3VPLLR4PFGEU \
  | 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: 65e03cf8cd45a93a23757ad71e3ca625251a80284325fb5da8378602a5cc6008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8a6bc36d8bc384164f787cf01b5ed9b8eea121afa28274959a267b9488e9ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-10T22:39:16Z",
    "title_canon_sha256": "9708aea453608741dc3380e12fedc80b7f7ab448e485fc283fe8b555f0deadf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03322",
    "kind": "arxiv",
    "version": 2
  }
}