Pith Number

pith:LDK2EFCO

pith:2008:LDK2EFCOU4453R2XZWJOMW6V7R

not attested not anchored not stored refs pending

A set-valued framework for birth-and-growth process

Enea G. Bongiorno, Giacomo Aletti, Vincenzo Capasso

arxiv:0805.3912 v1 · 2008-05-26 · math.PR · math.ST · stat.AP · 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{LDK2EFCOU4453R2XZWJOMW6V7R}

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	2026-05-18T04:12:10.781625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d5a2144ea739ddc757cd92e65bd5fc55a976990a07a8e5d7672131bd9395b5

Aliases

arxiv: 0805.3912 · arxiv_version: 0805.3912v1 · doi: 10.48550/arxiv.0805.3912 · pith_short_12: LDK2EFCOU445 · pith_short_16: LDK2EFCOU4453R2X · pith_short_8: LDK2EFCO

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/LDK2EFCOU4453R2XZWJOMW6V7R \
  | 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: 58d5a2144ea739ddc757cd92e65bd5fc55a976990a07a8e5d7672131bd9395b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4cbd927fec58baa5309ad14ad5f3742d534dc86212a398f856adaa692cef590",
    "cross_cats_sorted": [
      "math.ST",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-26T10:20:42Z",
    "title_canon_sha256": "106d9902fc1acc68a25d9ddd03c3260eddacf0c76a09c94d59ee13f673b32293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3912",
    "kind": "arxiv",
    "version": 1
  }
}