Pith Number

pith:VGLLAFDP

pith:2010:VGLLAFDPPMRGPFW2C5BIQ4WBG2

not attested not anchored not stored refs pending

Fractional pure birth processes

Enzo Orsingher, Federico Polito

arxiv:1008.2145 v2 · 2010-08-12 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGLLAFDPPMRGPFW2C5BIQ4WBG2}

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	2026-05-18T02:57:07.096771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a996b0146f7b226796da17428872c136a3eb04dc7876697eb29ab025ff3b2dcc

Aliases

arxiv: 1008.2145 · arxiv_version: 1008.2145v2 · doi: 10.48550/arxiv.1008.2145 · pith_short_12: VGLLAFDPPMRG · pith_short_16: VGLLAFDPPMRGPFW2 · pith_short_8: VGLLAFDP

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/VGLLAFDPPMRGPFW2C5BIQ4WBG2 \
  | 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: a996b0146f7b226796da17428872c136a3eb04dc7876697eb29ab025ff3b2dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a580239c5ac14490ee7225d1d357209fef57d154703418e5225af98c6bd0c8",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-12T15:36:57Z",
    "title_canon_sha256": "2fae71c79cd52f5481bb91c0e2f31f8aa4c799c47d77badaf66228a455abab25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2145",
    "kind": "arxiv",
    "version": 2
  }
}