Pith Number

pith:CE34G3VW

pith:2025:CE34G3VWVRY724YETAV7HLSQTZ

not attested not anchored not stored refs pending

Collisions of random walks on comb graphs with a planar base

Carlo Scali, Maximilian Nitzschner, Umberto De Ambroggio

arxiv:2508.19814 v1 · 2025-08-27 · 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{CE34G3VWVRY724YETAV7HLSQTZ}

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	2026-07-05T12:00:18.165350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1137c36eb6ac71fd7304982bf3ae509e60c12e7fddaeb55b244c4644322d37d2

Aliases

arxiv: 2508.19814 · arxiv_version: 2508.19814v1 · doi: 10.48550/arxiv.2508.19814 · pith_short_12: CE34G3VWVRY7 · pith_short_16: CE34G3VWVRY724YE · pith_short_8: CE34G3VW

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/CE34G3VWVRY724YETAV7HLSQTZ \
  | 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: 1137c36eb6ac71fd7304982bf3ae509e60c12e7fddaeb55b244c4644322d37d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9af12318079c2c67619ed60d34ec3fe57f94767040368d2721444be85fa8f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-27T11:57:51Z",
    "title_canon_sha256": "b39d175ab6aba40d3369c43898d97350827aed719bd5f973e04b1441122ae7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19814",
    "kind": "arxiv",
    "version": 1
  }
}