Pith Number

pith:FNAIDXH2

pith:2025:FNAIDXH2KI5SYUXX5T657E2TTH

not attested not anchored not stored refs pending

Logarithmic typical distances in preferential attachment models

Haodong Zhu, Remco van der Hofstad

arxiv:2502.07961 v1 · 2025-02-11 · 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{FNAIDXH2KI5SYUXX5T657E2TTH}

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	2026-07-05T10:13:12.963357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4081dcfa523b2c52f7ecfddf935399fc7efeb01b8f04975f69ab0a6571d85b

Aliases

arxiv: 2502.07961 · arxiv_version: 2502.07961v1 · doi: 10.48550/arxiv.2502.07961 · pith_short_12: FNAIDXH2KI5S · pith_short_16: FNAIDXH2KI5SYUXX · pith_short_8: FNAIDXH2

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/FNAIDXH2KI5SYUXX5T657E2TTH \
  | 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: 2b4081dcfa523b2c52f7ecfddf935399fc7efeb01b8f04975f69ab0a6571d85b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0fd4ee525a88a9f0c99bdd95a536e65509ed1a6cb76ceedbaf4dec9efc77ba2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-11T21:19:12Z",
    "title_canon_sha256": "e2fb3cd73f11f1bc622c64335d4953987f8896668b2e6de0923558928ad53402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07961",
    "kind": "arxiv",
    "version": 1
  }
}