Pith Number

pith:DNMST2O7

pith:2015:DNMST2O7UKNKP3HFJLNLORHT66

not attested not anchored not stored refs pending

Conditioned multi-type Galton-Watson trees

Eric Cator, Henk Don

arxiv:1506.02610 v3 · 2015-06-08 · 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{DNMST2O7UKNKP3HFJLNLORHT66}

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	2026-05-18T01:36:27.328473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5929e9dfa29aa7ece54adab744f3f78227b4bc975473c2298b9f0bd6ee2d57

Aliases

arxiv: 1506.02610 · arxiv_version: 1506.02610v3 · doi: 10.48550/arxiv.1506.02610 · pith_short_12: DNMST2O7UKNK · pith_short_16: DNMST2O7UKNKP3HF · pith_short_8: DNMST2O7

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/DNMST2O7UKNKP3HFJLNLORHT66 \
  | 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: 1b5929e9dfa29aa7ece54adab744f3f78227b4bc975473c2298b9f0bd6ee2d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c496472b16368c5a7ab62b46bb3e1502d11fb7c86bd234e4a5082e78f395ea50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-08T18:40:44Z",
    "title_canon_sha256": "ce6481f997480313068b26096d5f4dfa8e140cd06f8d29ca37205527531451e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02610",
    "kind": "arxiv",
    "version": 3
  }
}