Pith Number

pith:M4XKD5OJ

pith:2011:M4XKD5OJAZIV4B7T24TMNMPUDC

not attested not anchored not stored refs pending

Spectral theory for one-dimensional symmetric Levy processes killed upon hitting the origin

Mateusz Kwasnicki

arxiv:1110.5894 v2 · 2011-10-26 · math.PR · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4XKD5OJAZIV4B7T24TMNMPUDC}

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	2026-05-18T03:44:15.501867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672ea1f5c906515e07f3d726c6b1f41883c8c46c106025db5bc80ed71ef16fb1

Aliases

arxiv: 1110.5894 · arxiv_version: 1110.5894v2 · doi: 10.48550/arxiv.1110.5894 · pith_short_12: M4XKD5OJAZIV · pith_short_16: M4XKD5OJAZIV4B7T · pith_short_8: M4XKD5OJ

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/M4XKD5OJAZIV4B7T24TMNMPUDC \
  | 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: 672ea1f5c906515e07f3d726c6b1f41883c8c46c106025db5bc80ed71ef16fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487e37fcef2f3f4c46f49b577229112a5be13515fbd61967d4529665a0abe29f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-26T19:41:09Z",
    "title_canon_sha256": "70b87d4284697de26b69a456d063350e756cbfb42a87e8ffda41a9cabe55fe2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5894",
    "kind": "arxiv",
    "version": 2
  }
}