Pith Number

pith:6XYTR24Q

pith:2002:6XYTR24Q4NZ6P3VADQH3FY6BT7

not attested not anchored not stored refs pending

On the physical relevance of random walks: an example of random walks on a randomly oriented lattice

Dimitri Petritis, Massimo Campanino

arxiv:math/0201130 v1 · 2002-01-15 · math.PR · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XYTR24Q4NZ6P3VADQH3FY6BT7}

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	2026-05-18T01:05:29.816872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f138eb90e373e7eea01c0fb2e3c19fddaa09f1e64ff9d32e8e06be223ea037

Aliases

arxiv: math/0201130 · arxiv_version: math/0201130v1 · doi: 10.48550/arxiv.math/0201130 · pith_short_12: 6XYTR24Q4NZ6 · pith_short_16: 6XYTR24Q4NZ6P3VA · pith_short_8: 6XYTR24Q

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/6XYTR24Q4NZ6P3VADQH3FY6BT7 \
  | 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: f5f138eb90e373e7eea01c0fb2e3c19fddaa09f1e64ff9d32e8e06be223ea037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f037797af3c3eefead393d67a364566f2439b34d3b143de41a57e15246b4d39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-01-15T14:35:52Z",
    "title_canon_sha256": "848492cd30be5304ecf3371c5600e5645cd15f365e1befb52243f6eed996d396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201130",
    "kind": "arxiv",
    "version": 1
  }
}