Pith Number

pith:LANT3YHI

pith:2013:LANT3YHIQAD3GACXU6A6G5DUT6

not attested not anchored not stored refs pending

Barriers, exit time and survival probability for unimodal L\'evy processes

Krzysztof Bogdan, Micha{\l} Ryznar, Tomasz Grzywny

arxiv:1307.0270 v2 · 2013-07-01 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LANT3YHIQAD3GACXU6A6G5DUT6}

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	2026-05-18T03:06:42.795768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

581b3de0e88007b30057a781e374749fbc0d0a062319a67b217a608579913a60

Aliases

arxiv: 1307.0270 · arxiv_version: 1307.0270v2 · doi: 10.48550/arxiv.1307.0270 · pith_short_12: LANT3YHIQAD3 · pith_short_16: LANT3YHIQAD3GACX · pith_short_8: LANT3YHI

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/LANT3YHIQAD3GACXU6A6G5DUT6 \
  | 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: 581b3de0e88007b30057a781e374749fbc0d0a062319a67b217a608579913a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137c1a7e10fb342686f577d79ab535de289488740f93ead1c8144508b773d029",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-01T05:22:15Z",
    "title_canon_sha256": "07ab7b9688236af41e0cc104eb7f7aa3cd2ffaa3f3b897e4311b3e48e3cb84be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0270",
    "kind": "arxiv",
    "version": 2
  }
}