Pith Number

pith:IZQA46O3

pith:2025:IZQA46O3NB46C3EJYH7VMKECMT

not attested not anchored not stored refs pending

A limit theorem for the total progeny distribution of multi-type branching processes

Ivan Kryven, Jochem Hoogendijk, Rik Versendaal

arxiv:2503.22518 v1 · 2025-03-28 · 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{IZQA46O3NB46C3EJYH7VMKECMT}

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	2026-07-05T10:41:06.066163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46600e79db6879e16c89c1ff56288264e899fdc7e87cabca25125523382938ee

Aliases

arxiv: 2503.22518 · arxiv_version: 2503.22518v1 · doi: 10.48550/arxiv.2503.22518 · pith_short_12: IZQA46O3NB46 · pith_short_16: IZQA46O3NB46C3EJ · pith_short_8: IZQA46O3

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/IZQA46O3NB46C3EJYH7VMKECMT \
  | 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: 46600e79db6879e16c89c1ff56288264e899fdc7e87cabca25125523382938ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83298eb7e49cb060a54fd2d96cb97aeb4ccc16947f71f2fcca76a3f948203fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-28T15:21:36Z",
    "title_canon_sha256": "9f7063c540a1d914963b5f4c106cb25f1070eb3c6a87d054f2979b445e885bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.22518",
    "kind": "arxiv",
    "version": 1
  }
}