Pith Number

pith:MIUBBOIT

pith:2009:MIUBBOITZZFHXF6GPHFOE7CI5K

not attested not anchored not stored refs pending

Martin boundary of a killed random walk on a quadrant

Christophe Loree, Irina Ignatiouk-Robert

arxiv:0903.0070 v2 · 2009-02-28 · 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{MIUBBOITZZFHXF6GPHFOE7CI5K}

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	2026-05-18T04:39:28.939058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622810b913ce4a7b97c679cae27c48eabeb3cf84978b396cff56bc3572f4c2e5

Aliases

arxiv: 0903.0070 · arxiv_version: 0903.0070v2 · doi: 10.48550/arxiv.0903.0070 · pith_short_12: MIUBBOITZZFH · pith_short_16: MIUBBOITZZFHXF6G · pith_short_8: MIUBBOIT

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/MIUBBOITZZFHXF6GPHFOE7CI5K \
  | 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: 622810b913ce4a7b97c679cae27c48eabeb3cf84978b396cff56bc3572f4c2e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475dacec2da975c5f72012e018c68d5feb4952cdbd3aba602a621f738a5a0634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-28T12:16:06Z",
    "title_canon_sha256": "e29c067361dccd1d390b8e584d471c2659a0bece9fece92dba0ae64bd5f999cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0070",
    "kind": "arxiv",
    "version": 2
  }
}