Pith Number

pith:Q2UL7DZ7

pith:2015:Q2UL7DZ7G7NYAVZAKO3ZZ7NRZY

not attested not anchored not stored refs pending

The excursion measure away from zero for spectrally negative L\'evy processes

Jose Luis P\'erez, Juan Carlos Pardo, V\'ictor Manuel Rivero

arxiv:1507.05225 v1 · 2015-07-18 · 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{Q2UL7DZ7G7NYAVZAKO3ZZ7NRZY}

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	2026-05-18T01:36:37.501711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a8bf8f3f37db80572053b79cfdb1ce1e303eefaa8aecbbb44fbb5fed13e28a

Aliases

arxiv: 1507.05225 · arxiv_version: 1507.05225v1 · doi: 10.48550/arxiv.1507.05225 · pith_short_12: Q2UL7DZ7G7NY · pith_short_16: Q2UL7DZ7G7NYAVZA · pith_short_8: Q2UL7DZ7

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/Q2UL7DZ7G7NYAVZAKO3ZZ7NRZY \
  | 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: 86a8bf8f3f37db80572053b79cfdb1ce1e303eefaa8aecbbb44fbb5fed13e28a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee47239054334cd9f139c7d4742c53abb0f7b561be90f6acd1bd7e7a1fa04ee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-18T21:38:49Z",
    "title_canon_sha256": "cd2b86d9734c9e56441d3368ae552422e73341718a73a7eebefb74dfd7aa836c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05225",
    "kind": "arxiv",
    "version": 1
  }
}