Pith Number

pith:47S3QCPY

pith:2011:47S3QCPY3S2S77KU5TDKRFW3PZ

not attested not anchored not stored refs pending

Cram\'er theorem for Gamma random variables

Ciprian Tudor (LPP), Solesne Bourguin (SAMM)

arxiv:1101.2300 v2 · 2011-01-12 · 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{47S3QCPY3S2S77KU5TDKRFW3PZ}

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	2026-05-18T02:43:37.343193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e5b809f8dcb52ffd54ecc6a896db7e5982a8c89f527bbc7043f3d1cac5c812

Aliases

arxiv: 1101.2300 · arxiv_version: 1101.2300v2 · doi: 10.48550/arxiv.1101.2300 · pith_short_12: 47S3QCPY3S2S · pith_short_16: 47S3QCPY3S2S77KU · pith_short_8: 47S3QCPY

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/47S3QCPY3S2S77KU5TDKRFW3PZ \
  | 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: e7e5b809f8dcb52ffd54ecc6a896db7e5982a8c89f527bbc7043f3d1cac5c812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcda22b5b52f1744067b703e9c68c6c4ebf347d9b035b477ef91f1646bebd52c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-12T09:25:46Z",
    "title_canon_sha256": "dd62857b4aa77283e1447b15f0afd771c4dd39071f625e226d337202dc8f4d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2300",
    "kind": "arxiv",
    "version": 2
  }
}