Pith Number

pith:BY7OBHNA

pith:2015:BY7OBHNAWEACCTOJQG4TVPQDGL

not attested not anchored not stored refs pending

Formal Groups and $Z$-Entropies

Piergiulio Tempesta

arxiv:1507.07436 v4 · 2015-07-27 · math-ph · cond-mat.stat-mech · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY7OBHNAWEACCTOJQG4TVPQDGL}

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	2026-05-18T00:51:28.593897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3ee09da0b100214dc981b93abe0332c4f1f2d35cf9a784cdd0bd4f0ba5d003

Aliases

arxiv: 1507.07436 · arxiv_version: 1507.07436v4 · doi: 10.48550/arxiv.1507.07436 · pith_short_12: BY7OBHNAWEAC · pith_short_16: BY7OBHNAWEACCTOJ · pith_short_8: BY7OBHNA

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/BY7OBHNAWEACCTOJQG4TVPQDGL \
  | 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: 0e3ee09da0b100214dc981b93abe0332c4f1f2d35cf9a784cdd0bd4f0ba5d003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4337a86a33bf2c59d3bb8ac7d831001c67d5089c4b8e63617253bbdb825cdcae",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-27T15:04:22Z",
    "title_canon_sha256": "e7ea763f5b2769184123702f8260d61ea661a51345eab0aa7410e1d9e619ae79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07436",
    "kind": "arxiv",
    "version": 4
  }
}