Pith Number

pith:H625AOJM

pith:2018:H625AOJMRD736AYJLNULLEZE6J

not attested not anchored not stored refs pending

Vertices with fixed outdegrees in large Galton-Watson trees

Paul Th\'evenin

arxiv:1812.07365 v2 · 2018-12-18 · 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{H625AOJMRD736AYJLNULLEZE6J}

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	2026-07-05T00:43:53.403820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb5d0392c88ffbf03095b68b59324f24c774dbeabfb7b27d2ad7a02b9142cc3

Aliases

arxiv: 1812.07365 · arxiv_version: 1812.07365v2 · doi: 10.48550/arxiv.1812.07365 · pith_short_12: H625AOJMRD73 · pith_short_16: H625AOJMRD736AYJ · pith_short_8: H625AOJM

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/H625AOJMRD736AYJLNULLEZE6J \
  | 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: 3fb5d0392c88ffbf03095b68b59324f24c774dbeabfb7b27d2ad7a02b9142cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77dc5910e0a489a3210a7e2d88ac644eac91e1d3580e4fa3057ec21b6720b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-18T13:54:23Z",
    "title_canon_sha256": "7398091d4874db5fcba6520f3d6c81696ada25def69f0bfaea7a3c19e7d875a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07365",
    "kind": "arxiv",
    "version": 2
  }
}