Pith Number

pith:T6YPQHRC

pith:2011:T6YPQHRCUWRYTBVKVOPV4P3CHQ

not attested not anchored not stored refs pending

The theory of scale functions for spectrally negative Le vy processes

Alexey Kuznetsov, Andreas E. Kyprianou, Victor Rivero

arxiv:1104.1280 v1 · 2011-04-07 · 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{T6YPQHRCUWRYTBVKVOPV4P3CHQ}

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	2026-05-18T02:22:10.600218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb0f81e22a5a38986aaab9f5e3f623c17ee7ac8622f9538ecf3d1aed2af3649

Aliases

arxiv: 1104.1280 · arxiv_version: 1104.1280v1 · doi: 10.48550/arxiv.1104.1280 · pith_short_12: T6YPQHRCUWRY · pith_short_16: T6YPQHRCUWRYTBVK · pith_short_8: T6YPQHRC

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/T6YPQHRCUWRYTBVKVOPV4P3CHQ \
  | 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: 9fb0f81e22a5a38986aaab9f5e3f623c17ee7ac8622f9538ecf3d1aed2af3649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c1d980f3b3258fd8dc410bef91b783769ce8d4e1186b939a5eaa7bf4c6fb906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-07T09:41:25Z",
    "title_canon_sha256": "b6394332094da026c2fdd8d585acb7e9865c4e664550b001494d0175b9ca23cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1280",
    "kind": "arxiv",
    "version": 1
  }
}