Pith Number

pith:MYDPMBLN

pith:2017:MYDPMBLNTV67KHB3QIHXLXJBLE

not attested not anchored not stored refs pending

Constant-length random substitutions and Gibbs measures

Cesar Maldonado, Edgardo Ugalde, Liliana Trejo-Valencia

arxiv:1712.00586 v1 · 2017-12-02 · 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{MYDPMBLNTV67KHB3QIHXLXJBLE}

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	2026-05-18T00:19:24.795329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6606f6056d9d7df51c3b820f75dd21593ba7c2ac1d19a6c1c17d359017d6035b

Aliases

arxiv: 1712.00586 · arxiv_version: 1712.00586v1 · doi: 10.48550/arxiv.1712.00586 · pith_short_12: MYDPMBLNTV67 · pith_short_16: MYDPMBLNTV67KHB3 · pith_short_8: MYDPMBLN

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/MYDPMBLNTV67KHB3QIHXLXJBLE \
  | 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: 6606f6056d9d7df51c3b820f75dd21593ba7c2ac1d19a6c1c17d359017d6035b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be8e3f340f825ad0d6c8df3c8f584a4bad2bf1a18c9eb158e2115612d47b7f3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-02T10:41:39Z",
    "title_canon_sha256": "97028a6a14adca064c94660a626320cee70cfbc4105ef3fa2c6022e69f0e0644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00586",
    "kind": "arxiv",
    "version": 1
  }
}