Pith Number

pith:A3C66QVF

pith:2016:A3C66QVFE46OMNO5CZACV5ADT2

not attested not anchored not stored refs pending

On fluctuation theory for spectrally negative Levy processes with Parisian reflection below, and applications

Florin Avram, Xiaowen Zhou

arxiv:1612.00587 v1 · 2016-12-02 · 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{A3C66QVFE46OMNO5CZACV5ADT2}

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	2026-05-18T00:55:59.616310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c5ef42a5273ce635dd16402af4039e89ce70a02015d4b7b0878a1287e0d419

Aliases

arxiv: 1612.00587 · arxiv_version: 1612.00587v1 · doi: 10.48550/arxiv.1612.00587 · pith_short_12: A3C66QVFE46O · pith_short_16: A3C66QVFE46OMNO5 · pith_short_8: A3C66QVF

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/A3C66QVFE46OMNO5CZACV5ADT2 \
  | 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: 06c5ef42a5273ce635dd16402af4039e89ce70a02015d4b7b0878a1287e0d419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a05442198b736c9bdb8dd1d8737d61f6c28fa13def4ed998c96d49397d0fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-02T08:19:26Z",
    "title_canon_sha256": "2dda60132c6e870b3a67196c965c2a34273c8f7f7ac9c8f3228b567f446d1c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00587",
    "kind": "arxiv",
    "version": 1
  }
}