Pith Number

pith:53ITWG56

pith:2026:53ITWG5673RUSNVF75MFSXHPZ2

not attested not anchored not stored refs pending

Random walks in Dirichlet random environment in dimension $d+1$

Alexander K. Hartmann, Guillaume Barraquand, Pierre Le Doussal

arxiv:2607.20279 v1 · 2026-07-22 · 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{53ITWG5673RUSNVF75MFSXHPZ2}

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	2026-07-23T01:25:11.577748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed13b1bbefee34936a5ff58595cefce884b6623b4cfb2488bd423a144efbacb

Aliases

arxiv: 2607.20279 · arxiv_version: 2607.20279v1 · doi: 10.48550/arxiv.2607.20279 · pith_short_12: 53ITWG5673RU · pith_short_16: 53ITWG5673RUSNVF · pith_short_8: 53ITWG56

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/53ITWG5673RUSNVF75MFSXHPZ2 \
  | 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: eed13b1bbefee34936a5ff58595cefce884b6623b4cfb2488bd423a144efbacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1487cfb9d9b3572f090f00c061a2800cf7692aabc2057b18829ca658738e153e",
    "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": "2026-07-22T15:27:25Z",
    "title_canon_sha256": "65b46499b17fa8135f323520b7dcf32904d07cb4c96a8f7952f97bf35be97692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20279",
    "kind": "arxiv",
    "version": 1
  }
}