Pith Number

pith:QFYX6NHS

pith:2017:QFYX6NHSN3EOCXSU66Z7ROQTUH

not attested not anchored not stored refs pending

Spectral distribution of the free Jacobi process, revisited

Tarek Hamdi

arxiv:1711.07382 v1 · 2017-11-20 · math.PR · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFYX6NHSN3EOCXSU66Z7ROQTUH}

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	2026-05-18T00:30:10.309209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81717f34f26ec8e15e54f7b3f8ba13a1c345bd95d25968b068b0c77bafe70ef2

Aliases

arxiv: 1711.07382 · arxiv_version: 1711.07382v1 · doi: 10.48550/arxiv.1711.07382 · pith_short_12: QFYX6NHSN3EO · pith_short_16: QFYX6NHSN3EOCXSU · pith_short_8: QFYX6NHS

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/QFYX6NHSN3EOCXSU66Z7ROQTUH \
  | 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: 81717f34f26ec8e15e54f7b3f8ba13a1c345bd95d25968b068b0c77bafe70ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1887092ec1f43e8d62994f244320fa1ff9bbaa79fe319d5d9acf146b5f8ff041",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-20T15:40:01Z",
    "title_canon_sha256": "19d20fb54b041732c5297981f8a2aa282b9438664ae4932883bef3ffc6f0d77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07382",
    "kind": "arxiv",
    "version": 1
  }
}