Pith Number

pith:UGM77MTU

pith:2014:UGM77MTUIWBLURCLIFH5RZYMFV

not attested not anchored not stored refs pending

Entropy algebras and Birkhoff factorization

Matilde Marcolli, Nicolas Tedeschi

arxiv:1412.0247 v1 · 2014-11-30 · math.QA · 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{UGM77MTUIWBLURCLIFH5RZYMFV}

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	2026-05-18T01:25:02.553811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a199ffb2744582ba444b414fd8e70c2d595b59e94075d366dd73579c70436576

Aliases

arxiv: 1412.0247 · arxiv_version: 1412.0247v1 · doi: 10.48550/arxiv.1412.0247 · pith_short_12: UGM77MTUIWBL · pith_short_16: UGM77MTUIWBLURCL · pith_short_8: UGM77MTU

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/UGM77MTUIWBLURCLIFH5RZYMFV \
  | 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: a199ffb2744582ba444b414fd8e70c2d595b59e94075d366dd73579c70436576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9bda9c10d33e7b0feb6ee74b2d75796d6edc65edee0eca6f9f1962036ab581a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-30T17:01:30Z",
    "title_canon_sha256": "9fe5b23af40afcf829cf92195ebadd4bf2cc334d45aa7c4ab658bfbe199d229b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0247",
    "kind": "arxiv",
    "version": 1
  }
}