Pith Number

pith:ON6OAAVQ

pith:2024:ON6OAAVQLGOUAVHOTLJOU2UEQV

not attested not anchored not stored refs pending

The number of descendants in a preferential attachment graph

Svante Janson, Tiffany Y. Y. Lo

arxiv:2412.13975 v1 · 2024-12-18 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON6OAAVQLGOUAVHOTLJOU2UEQV}

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.

Cited by

1 paper in Pith

Ancestries in random $d$-DAGs

Receipt and verification

First computed	2026-07-05T09:51:11.683841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737ce002b0599d4054ee9ad2ea6a848553515dd157d2c8a958b9cb18e25dd550

Aliases

arxiv: 2412.13975 · arxiv_version: 2412.13975v1 · doi: 10.48550/arxiv.2412.13975 · pith_short_12: ON6OAAVQLGOU · pith_short_16: ON6OAAVQLGOUAVHO · pith_short_8: ON6OAAVQ

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/ON6OAAVQLGOUAVHOTLJOU2UEQV \
  | 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: 737ce002b0599d4054ee9ad2ea6a848553515dd157d2c8a958b9cb18e25dd550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de0b331c286442ea484fd6d6b2fa8721f860eb4f5771791a5052bb7afeb7036",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-18T15:54:37Z",
    "title_canon_sha256": "aa4a79ad95e15b86848acd6ec17e3faa08e11e6c6ceb879eda173c5a206d9944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13975",
    "kind": "arxiv",
    "version": 1
  }
}