Pith Number

pith:U2DA3JPL

pith:2026:U2DA3JPL5X52HOMPP5QUET6MA7

not attested not anchored not stored refs pending

Exact collective first-passage statistics of N trail-interacting walkers

Julien Br\'emont, Olivier B\'enichou, Paul Pineau, Rapha\"el Voituriez

arxiv:2607.13213 v1 · 2026-07-14 · cond-mat.stat-mech · math-ph · math.MP · 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{U2DA3JPL5X52HOMPP5QUET6MA7}

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	2026-07-16T00:22:03.154723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6860da5ebedfba3b98f7f61424fcc07ed8f5d0d06e9ef687d79643df7ce31f1

Aliases

arxiv: 2607.13213 · arxiv_version: 2607.13213v1 · doi: 10.48550/arxiv.2607.13213 · pith_short_12: U2DA3JPL5X52 · pith_short_16: U2DA3JPL5X52HOMP · pith_short_8: U2DA3JPL

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/U2DA3JPL5X52HOMPP5QUET6MA7 \
  | 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: a6860da5ebedfba3b98f7f61424fcc07ed8f5d0d06e9ef687d79643df7ce31f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5167824ea129784aa4f2a343802dd31e4b32ca1e27cde503ab38c643ec43cd28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-14T19:12:51Z",
    "title_canon_sha256": "f16a78b6c81cb0b59d1aae15e3738a90a1deaaa9da027aada4ff37b3e8169946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13213",
    "kind": "arxiv",
    "version": 1
  }
}