Pith Number

pith:SREH3JIW

pith:2019:SREH3JIWSNBGRPHVNWEMZWSAQY

not attested not anchored not stored refs pending

Local tail asymptotics for the joint distribution of length and of maximum of a random walk excursion

Elena Perfilev, Vitali Wachtel

arxiv:1907.02578 v1 · 2019-07-04 · 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{SREH3JIWSNBGRPHVNWEMZWSAQY}

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	2026-05-17T23:41:23.892881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94487da516934268bcf56d88ccda408616877c2d9e6d2ce4cc19b1ee307399ee

Aliases

arxiv: 1907.02578 · arxiv_version: 1907.02578v1 · doi: 10.48550/arxiv.1907.02578 · pith_short_12: SREH3JIWSNBG · pith_short_16: SREH3JIWSNBGRPHV · pith_short_8: SREH3JIW

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/SREH3JIWSNBGRPHVNWEMZWSAQY \
  | 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: 94487da516934268bcf56d88ccda408616877c2d9e6d2ce4cc19b1ee307399ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ad90e667b10346d47e474c64515cb31660492f8863e6ade430f601876b6c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-04T20:26:24Z",
    "title_canon_sha256": "208027207ceb39cbd9ea4c178de933ec3eab606ebd7d93b282d806ad8a5af39d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02578",
    "kind": "arxiv",
    "version": 1
  }
}