Pith Number

pith:AJFS7SIH

pith:2025:AJFS7SIHVNA66Z4OHAQ5DCYMWL

not attested not anchored not stored refs pending

The non-backtracking random walk and its usage for vertex clustering

Marianna Bolla

arxiv:2512.24434 v4 · 2025-12-30 · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJFS7SIHVNA66Z4OHAQ5DCYMWL}

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	2026-05-26T01:03:21.639431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024b2fc907ab41ef678e3821d18b0cb2fe91230c356141a41c41f45f34bd9e78

Aliases

arxiv: 2512.24434 · arxiv_version: 2512.24434v4 · doi: 10.48550/arxiv.2512.24434 · pith_short_12: AJFS7SIHVNA6 · pith_short_16: AJFS7SIHVNA66Z4O · pith_short_8: AJFS7SIH

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/AJFS7SIHVNA66Z4OHAQ5DCYMWL \
  | 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: 024b2fc907ab41ef678e3821d18b0cb2fe91230c356141a41c41f45f34bd9e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969b1bf8ce4f0a0f0973d4aff3ad115287e781280f28c2ea79b6b1566b7f1563",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-30T19:38:49Z",
    "title_canon_sha256": "2cb54a97a427a13da7d061af815c701da7792e1c37defa70632b0a344abfc6b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24434",
    "kind": "arxiv",
    "version": 4
  }
}