Pith Number

pith:PGDF3EJI

pith:2012:PGDF3EJIWOXPFT53N7RISI4LI2

not attested not anchored not stored refs pending

Produit Beta-Gamma et r\'egularit\'e du signe

Thomas Simon (LPP)

arxiv:1207.6464 v1 · 2012-07-27 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGDF3EJIWOXPFT53N7RISI4LI2}

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	2026-05-18T03:49:59.263839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79865d9128b3aef2cfbb6fe289238b469a9104c540d4b055c3dcbb53cde013a0

Aliases

arxiv: 1207.6464 · arxiv_version: 1207.6464v1 · doi: 10.48550/arxiv.1207.6464 · pith_short_12: PGDF3EJIWOXP · pith_short_16: PGDF3EJIWOXPFT53 · pith_short_8: PGDF3EJI

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/PGDF3EJIWOXPFT53N7RISI4LI2 \
  | 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: 79865d9128b3aef2cfbb6fe289238b469a9104c540d4b055c3dcbb53cde013a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6de7157a71584b861ae682cde83cbb51d423f1321c33b08a82d19c5ebb11eb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-27T06:48:04Z",
    "title_canon_sha256": "a37db37358d51fd34299e3310b34cf894e8dd8584729938744e20b2b8c25af52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6464",
    "kind": "arxiv",
    "version": 1
  }
}