Pith Number

pith:PH7E4GIR

pith:2014:PH7E4GIR52JSS72HPV6UGCGVCX

not attested not anchored not stored refs pending

From Boltzmann to random matrices and beyond

Djalil Chafa\"i

arxiv:1405.1003 v4 · 2014-05-05 · math.HO · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH7E4GIR52JSS72HPV6UGCGVCX}

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	2026-05-18T01:18:23.605854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fe4e1911ee93297f477d7d4308d515d5a384e3f13aadbddf076761b2d7c206

Aliases

arxiv: 1405.1003 · arxiv_version: 1405.1003v4 · doi: 10.48550/arxiv.1405.1003 · pith_short_12: PH7E4GIR52JS · pith_short_16: PH7E4GIR52JSS72H · pith_short_8: PH7E4GIR

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/PH7E4GIR52JSS72HPV6UGCGVCX \
  | 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: 79fe4e1911ee93297f477d7d4308d515d5a384e3f13aadbddf076761b2d7c206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854ad770de194a25e887228233c2c52b2fd57b5f94785e43a60fdf0c60712558",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-05-05T19:23:39Z",
    "title_canon_sha256": "81c9b9276dc8f5c71a4f7c5e1376d497fe38083c4b3a7bd48c192d21f35483c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1003",
    "kind": "arxiv",
    "version": 4
  }
}