Pith Number

pith:DA4GYQQB

pith:2015:DA4GYQQBU4TIZHBZB22UHNZ6H6

not attested not anchored not stored refs pending

$t$-Martin boundary of killed random walks in the quadrant

C\'edric Lecouvey, Kilian Raschel

arxiv:1509.04193 v2 · 2015-09-14 · 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{DA4GYQQBU4TIZHBZB22UHNZ6H6}

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	2026-05-18T00:53:51.228442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18386c4201a7268c9c390eb543b73e3f8d2b66d3586ea79ce4c44a706da52247

Aliases

arxiv: 1509.04193 · arxiv_version: 1509.04193v2 · doi: 10.48550/arxiv.1509.04193 · pith_short_12: DA4GYQQBU4TI · pith_short_16: DA4GYQQBU4TIZHBZ · pith_short_8: DA4GYQQB

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/DA4GYQQBU4TIZHBZB22UHNZ6H6 \
  | 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: 18386c4201a7268c9c390eb543b73e3f8d2b66d3586ea79ce4c44a706da52247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afde5f3eaef5dc7177ae5a6d1a814ba3cbbdb7617aea33d592fa29559609351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-14T16:42:39Z",
    "title_canon_sha256": "c1258d959c3448a08a448d727b9d44fab0744dc8de291428c10892612b267377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04193",
    "kind": "arxiv",
    "version": 2
  }
}