Pith Number

pith:F5KU2JDB

pith:2012:F5KU2JDBCXPMITYA6DPC6BVQXJ

not attested not anchored not stored refs pending

Hitting time of a half-line by a two-dimensional nonsymmetric random walk

Yasunari Fukai

arxiv:1212.2714 v1 · 2012-12-12 · 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{F5KU2JDBCXPMITYA6DPC6BVQXJ}

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	2026-05-18T03:38:35.620889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f554d246115dec44f00f0de2f06b0ba4d3e2b7c1c5d9d54d0a59eaa125cf616

Aliases

arxiv: 1212.2714 · arxiv_version: 1212.2714v1 · doi: 10.48550/arxiv.1212.2714 · pith_short_12: F5KU2JDBCXPM · pith_short_16: F5KU2JDBCXPMITYA · pith_short_8: F5KU2JDB

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/F5KU2JDBCXPMITYA6DPC6BVQXJ \
  | 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: 2f554d246115dec44f00f0de2f06b0ba4d3e2b7c1c5d9d54d0a59eaa125cf616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba7d6f8e281cad89be7e81f93a002487a84b9d42f496ca68b75ade64f23722c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-12T06:07:47Z",
    "title_canon_sha256": "ed1ddd06415a48e53e6d753aa2a2e0650c78181158ef569378da22e021db038b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2714",
    "kind": "arxiv",
    "version": 1
  }
}