Pith Number

pith:PJO7Y5O7

pith:2013:PJO7Y5O7BVV2WNHK6QJPQZTH2S

not attested not anchored not stored refs pending

Laplace-Laplace analysis of the fractional Poisson process

Francesco Mainardi, Rudolf Gorenflo

arxiv:1305.5473 v1 · 2013-05-23 · 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{PJO7Y5O7BVV2WNHK6QJPQZTH2S}

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	2026-05-18T03:25:04.692119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5dfc75df0d6bab34eaf412f86667d4bdeba5b8652c978a5ff994c24293f633

Aliases

arxiv: 1305.5473 · arxiv_version: 1305.5473v1 · doi: 10.48550/arxiv.1305.5473 · pith_short_12: PJO7Y5O7BVV2 · pith_short_16: PJO7Y5O7BVV2WNHK · pith_short_8: PJO7Y5O7

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/PJO7Y5O7BVV2WNHK6QJPQZTH2S \
  | 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: 7a5dfc75df0d6bab34eaf412f86667d4bdeba5b8652c978a5ff994c24293f633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e597ac0896359b5ff939a1978a64674d3c6c19de7314ca606bdf589163053a9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-23T16:04:08Z",
    "title_canon_sha256": "de859d3b53dec2b27ca11449ac6f137aa34a9b6ce8e3184cdb944f39a0a2501e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5473",
    "kind": "arxiv",
    "version": 1
  }
}