Pith Number

pith:XX47ICWZ

pith:2013:XX47ICWZ4GQSULAH5FJCYN3VYT

not attested not anchored not stored refs pending

Unimodality of hitting times for stable processes

Julien Letemplier (LPP), LPTMS), Thomas Simon (LPP

arxiv:1309.5321 v2 · 2013-09-20 · 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{XX47ICWZ4GQSULAH5FJCYN3VYT}

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	2026-05-18T03:07:44.115070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf9f40ad9e1a12a2c07e9522c3775c4e01b13e1de3aa87548fbb3e702d98344

Aliases

arxiv: 1309.5321 · arxiv_version: 1309.5321v2 · doi: 10.48550/arxiv.1309.5321 · pith_short_12: XX47ICWZ4GQS · pith_short_16: XX47ICWZ4GQSULAH · pith_short_8: XX47ICWZ

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/XX47ICWZ4GQSULAH5FJCYN3VYT \
  | 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: bdf9f40ad9e1a12a2c07e9522c3775c4e01b13e1de3aa87548fbb3e702d98344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6494682cc0fea40a62e2bd617b77e3e2424f86ea5fa8860701be49db7bd3bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-20T16:50:52Z",
    "title_canon_sha256": "58b68476bcc2d5dc2144f7241f2b305bc8bda17164805b9fac50f21e5f8aed26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5321",
    "kind": "arxiv",
    "version": 2
  }
}