Pith Number

pith:WUQVZOQP

pith:2026:WUQVZOQPYMXINV7ME7WLPYL43K

not attested not anchored not stored refs pending

Power-law hypothesis and (un)fairness of PageRank on undirected multi-type PAMs

Christian Borgs, Florian Henning, Nelly Litvak, Remco van der Hofstad

arxiv:2606.19583 v1 · 2026-06-17 · 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{WUQVZOQPYMXINV7ME7WLPYL43K}

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	2026-06-19T16:12:29.458818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5215cba0fc32e86d7ec27ecb7e17cdabb81eb035a6bdc43db88fe5789963625

Aliases

arxiv: 2606.19583 · arxiv_version: 2606.19583v1 · doi: 10.48550/arxiv.2606.19583 · pith_short_12: WUQVZOQPYMXI · pith_short_16: WUQVZOQPYMXINV7M · pith_short_8: WUQVZOQP

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/WUQVZOQPYMXINV7ME7WLPYL43K \
  | 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: b5215cba0fc32e86d7ec27ecb7e17cdabb81eb035a6bdc43db88fe5789963625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f7826bbdfa978aa1c2b1a4e383aa13fc9d6299f96c040f0db5940112e97f66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-17T20:38:08Z",
    "title_canon_sha256": "4c56c62dc0843c19d166e2ed145cdcf34a30a9c0e6e65e42c5129a19b98684d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19583",
    "kind": "arxiv",
    "version": 1
  }
}