Pith Number

pith:7NQWHRZT

pith:2012:7NQWHRZTTXFWKH2D3ASWZKZJAG

not attested not anchored not stored refs pending

Inversions of Levy Measures and the Relation Between Long and Short Time Behavior of Levy Processes

Michael Grabchak

arxiv:1207.4381 v2 · 2012-07-18 · 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{7NQWHRZTTXFWKH2D3ASWZKZJAG}

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	2026-05-18T01:22:03.602355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb6163c7339dcb651f43d8256cab29018bc80f56376e6aa30e121fd013099de7

Aliases

arxiv: 1207.4381 · arxiv_version: 1207.4381v2 · doi: 10.48550/arxiv.1207.4381 · pith_short_12: 7NQWHRZTTXFW · pith_short_16: 7NQWHRZTTXFWKH2D · pith_short_8: 7NQWHRZT

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/7NQWHRZTTXFWKH2D3ASWZKZJAG \
  | 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: fb6163c7339dcb651f43d8256cab29018bc80f56376e6aa30e121fd013099de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bdbdfcf26956c68f63e3fd192ce4b4c3d7c6511359e4c2b4a21b7c002f0a65d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-18T14:24:10Z",
    "title_canon_sha256": "8c5d20f7b76df8dd4a9d8d0e992719896afd2e594f727615d525d18de0f3e0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4381",
    "kind": "arxiv",
    "version": 2
  }
}