Pith Number

pith:KFPDHXBJ

pith:2025:KFPDHXBJ4R5VR3EM46S22DWCBF

not attested not anchored not stored refs pending

On the first positive position of a random walker

Claude Godr\`eche, Jean-Marc Luck

arxiv:2501.17268 v1 · 2025-01-28 · cond-mat.stat-mech · 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{KFPDHXBJ4R5VR3EM46S22DWCBF}

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

First-passage statistics of random walks: a general approach via Riemann-Hilbert problems

Receipt and verification

First computed	2026-07-05T12:03:24.333099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515e33dc29e47b58ec8ce7a5ad0ec2097ce6a9713dfcc4f50543068fc45ee6c4

Aliases

arxiv: 2501.17268 · arxiv_version: 2501.17268v1 · doi: 10.48550/arxiv.2501.17268 · pith_short_12: KFPDHXBJ4R5V · pith_short_16: KFPDHXBJ4R5VR3EM · pith_short_8: KFPDHXBJ

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/KFPDHXBJ4R5VR3EM46S22DWCBF \
  | 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: 515e33dc29e47b58ec8ce7a5ad0ec2097ce6a9713dfcc4f50543068fc45ee6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3ce5f4f3be1c7e57e5a86f6eb2d94750f3409beea200916e64d93b7f49529e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-01-28T19:54:58Z",
    "title_canon_sha256": "53d05013d5ab0c51f892fbf2a1712658c3cb5ccd5d55c407caae32f7f5c0a7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17268",
    "kind": "arxiv",
    "version": 1
  }
}