Pith Number

pith:V5TWVZNI

pith:2015:V5TWVZNI5LFTJWFNBP7EU7Y4J2

not attested not anchored not stored refs pending

Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms

Jasper Goseling, Richard J. Boucherie, Yanting Chen

arxiv:1502.07218 v1 · 2015-02-25 · 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{V5TWVZNI5LFTJWFNBP7EU7Y4J2}

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	2026-05-18T02:26:11.577459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af676ae5a8eacb34d8ad0bfe4a7f1c4ebb64a89dfffabc49ee1f4f3f66e38007

Aliases

arxiv: 1502.07218 · arxiv_version: 1502.07218v1 · doi: 10.48550/arxiv.1502.07218 · pith_short_12: V5TWVZNI5LFT · pith_short_16: V5TWVZNI5LFTJWFN · pith_short_8: V5TWVZNI

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/V5TWVZNI5LFTJWFNBP7EU7Y4J2 \
  | 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: af676ae5a8eacb34d8ad0bfe4a7f1c4ebb64a89dfffabc49ee1f4f3f66e38007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d03fb9b7c775ef2f6369941a2b7f392fbbcec1c1d9e53ed6469e2738331816c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-25T16:01:29Z",
    "title_canon_sha256": "d447cf947385e9fad8e313f4bed8de28bd1244ed23188026b9b0a090aebdb2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07218",
    "kind": "arxiv",
    "version": 1
  }
}