Pith Number

pith:R7KAYBXA

pith:2004:R7KAYBXALGJPBNH337OIO2KZSI

not attested not anchored not stored refs pending

On Vervaat and Vervaat-error type processes for partial sums and renewals

Endre Cs\'aki, Josef Steinebach, Mikl\'os Cs\"org\H{o}, Zdzis{\l}aw Rychlik

arxiv:math/0401041 v1 · 2004-01-06 · 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{R7KAYBXALGJPBNH337OIO2KZSI}

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	2026-05-18T01:08:51.623636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd40c06e05992f0b4fbdfdc876959921b8375ba7e6719f512558a656a64bc0a

Aliases

arxiv: math/0401041 · arxiv_version: math/0401041v1 · doi: 10.48550/arxiv.math/0401041 · pith_short_12: R7KAYBXALGJP · pith_short_16: R7KAYBXALGJPBNH3 · pith_short_8: R7KAYBXA

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/R7KAYBXALGJPBNH337OIO2KZSI \
  | 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: 8fd40c06e05992f0b4fbdfdc876959921b8375ba7e6719f512558a656a64bc0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453a027e0e09ae0f7e253eeb60c035d5a9eaecae925e6e7f4d78571ac921008d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-01-06T14:38:51Z",
    "title_canon_sha256": "03b500cb0dc65223b42d5f2101f2a626af15a187c9885290edf091546ff2918f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401041",
    "kind": "arxiv",
    "version": 1
  }
}