Pith Number

pith:KECLTMT2

pith:2009:KECLTMT24BWE7HNGQT2NZYHH7L

not attested not anchored not stored refs pending

Random walks in $(\mathbb{Z}_+)^2$ with non-zero drift absorbed at the axes

Irina Kurkova, Kilian Raschel

arxiv:0903.5486 v1 · 2009-03-31 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KECLTMT24BWE7HNGQT2NZYHH7L}

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	2026-05-18T03:55:37.750911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5104b9b27ae06c4f9da684f4dce0e7facc4a0398456190f64fab73e3bbb3d967

Aliases

arxiv: 0903.5486 · arxiv_version: 0903.5486v1 · doi: 10.48550/arxiv.0903.5486 · pith_short_12: KECLTMT24BWE · pith_short_16: KECLTMT24BWE7HNG · pith_short_8: KECLTMT2

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/KECLTMT24BWE7HNGQT2NZYHH7L \
  | 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: 5104b9b27ae06c4f9da684f4dce0e7facc4a0398456190f64fab73e3bbb3d967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0abc03fcb3f678bb986d5a853cb5a3ecf3e8811bf864e25154f5da54933da4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-31T14:48:20Z",
    "title_canon_sha256": "7c5a8550ada2969b182d44986b8139546980ba0cb2cf4cab979847b48306be53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5486",
    "kind": "arxiv",
    "version": 1
  }
}