Pith Number

pith:PJIK2JVG

pith:2019:PJIK2JVGIOTOQWFIW4NATDDWDC

not attested not anchored not stored refs pending

The strong Malthusian behavior of growth-fragmentation processes

Alexander Watson, Jean Bertoin

arxiv:1901.07251 v1 · 2019-01-22 · 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{PJIK2JVGIOTOQWFIW4NATDDWDC}

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	2026-07-05T02:08:27.161391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a50ad26a643a6e858a8b71a098c7618b6fc39751298702264f1ff0fa43b3949

Aliases

arxiv: 1901.07251 · arxiv_version: 1901.07251v1 · doi: 10.48550/arxiv.1901.07251 · pith_short_12: PJIK2JVGIOTO · pith_short_16: PJIK2JVGIOTOQWFI · pith_short_8: PJIK2JVG

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/PJIK2JVGIOTOQWFIW4NATDDWDC \
  | 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: 7a50ad26a643a6e858a8b71a098c7618b6fc39751298702264f1ff0fa43b3949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8d0bfc63fa1f292c23027ba65373f03d19986ce5b0c63f396b4642d0c1b5e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-22T10:40:28Z",
    "title_canon_sha256": "a496235cd1dc332dc825e6a5c516b7d6f54d9721b47813c5e5bbccf774cf8b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07251",
    "kind": "arxiv",
    "version": 1
  }
}