Pith Number

pith:EO2ABHBU

pith:2015:EO2ABHBUINAKWFC74E5BUC464M

not attested not anchored not stored refs pending

Galton-Watson Probability Contraction

Joel Spencer, Moumanti Podder

arxiv:1512.07371 v2 · 2015-12-23 · 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{EO2ABHBUINAKWFC74E5BUC464M}

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	2026-05-18T01:23:12.949028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b4009c344340ab145fe13a1a0b9ee329e3fe69b83322293d062a7acf1c03e4

Aliases

arxiv: 1512.07371 · arxiv_version: 1512.07371v2 · doi: 10.48550/arxiv.1512.07371 · pith_short_12: EO2ABHBUINAK · pith_short_16: EO2ABHBUINAKWFC7 · pith_short_8: EO2ABHBU

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/EO2ABHBUINAKWFC74E5BUC464M \
  | 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: 23b4009c344340ab145fe13a1a0b9ee329e3fe69b83322293d062a7acf1c03e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93cc752648c42b3ee2f6733c0730dc2586aeb2474af8345ad47bb4a4202b9bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-23T07:12:26Z",
    "title_canon_sha256": "cff80986f125dde4b70df89160c56b6af634f0a0830836ad050a8a1cd42a8a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07371",
    "kind": "arxiv",
    "version": 2
  }
}