Pith Number

pith:JATIRRZS

pith:2014:JATIRRZS4NKRFBOGVA73IGCYIK

not attested not anchored not stored refs pending

Random Walks in the Quarter-Plane: Advances in Explicit Criterions for the Finiteness of the Associated Group in the Genus 1 Case

Guy Fayolle, Roudolf Iasnogorodski

arxiv:1408.3339 v2 · 2014-08-14 · 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{JATIRRZS4NKRFBOGVA73IGCYIK}

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	2026-05-18T02:38:09.283587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482688c732e3551285c6a83fb4185842b1ca4c98cf994f83a6e94d7847370e6b

Aliases

arxiv: 1408.3339 · arxiv_version: 1408.3339v2 · doi: 10.48550/arxiv.1408.3339 · pith_short_12: JATIRRZS4NKR · pith_short_16: JATIRRZS4NKRFBOG · pith_short_8: JATIRRZS

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/JATIRRZS4NKRFBOGVA73IGCYIK \
  | 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: 482688c732e3551285c6a83fb4185842b1ca4c98cf994f83a6e94d7847370e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14aa8148763eadcc0eae92a51792e26fc0a3d3b7ba5ae59a35aa2451befcfaaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-14T16:49:40Z",
    "title_canon_sha256": "6075fb346ddee1208a53e79e40d791e2e3c4a86c5c3db14a86c9a5caec9fc6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3339",
    "kind": "arxiv",
    "version": 2
  }
}