Pith Number

pith:LO7MIATW

pith:2011:LO7MIATW6F5MD7HX4GYSRF2QZT

not attested not anchored not stored refs pending

On the Wiener-Hopf factorization for Levy processes with bounded positive jumps

Alexey Kuznetsov, Xianhua Peng

arxiv:1108.3008 v1 · 2011-08-15 · 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{LO7MIATW6F5MD7HX4GYSRF2QZT}

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	2026-05-18T04:15:28.834335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bbec40276f17ac1fcf7e1b1289750cccc8b5554524ca505497a7a0ff378baf5

Aliases

arxiv: 1108.3008 · arxiv_version: 1108.3008v1 · doi: 10.48550/arxiv.1108.3008 · pith_short_12: LO7MIATW6F5M · pith_short_16: LO7MIATW6F5MD7HX · pith_short_8: LO7MIATW

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/LO7MIATW6F5MD7HX4GYSRF2QZT \
  | 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: 5bbec40276f17ac1fcf7e1b1289750cccc8b5554524ca505497a7a0ff378baf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4549192057d68c9a508c041246ec94a2410b505d7033e1496e180e2ae99cceb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-15T14:41:35Z",
    "title_canon_sha256": "2d34d95c54766980af630186aa92e4bffcfb86767249f38a37187bf3616425aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3008",
    "kind": "arxiv",
    "version": 1
  }
}