Pith Number

pith:OGXBIM6I

pith:2006:OGXBIM6I62X3ARYIETI7EFK4AR

not attested not anchored not stored refs pending

Intrinsic Ultracontractivity for Levy processes

Tomasz Grzywny

arxiv:math/0606659 v1 · 2006-06-26 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGXBIM6I62X3ARYIETI7EFK4AR}

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	2026-05-18T04:18:46.411943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71ae1433c8f6afb0470824d1f2155c0454b24f5033e5a9ace964846d73fb6860

Aliases

arxiv: math/0606659 · arxiv_version: math/0606659v1 · doi: 10.48550/arxiv.math/0606659 · pith_short_12: OGXBIM6I62X3 · pith_short_16: OGXBIM6I62X3ARYI · pith_short_8: OGXBIM6I

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/OGXBIM6I62X3ARYIETI7EFK4AR \
  | 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: 71ae1433c8f6afb0470824d1f2155c0454b24f5033e5a9ace964846d73fb6860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a54f226d1f156a1af53659e777e3c1187a7e5606322ff0823c7f12ec688aa4f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-26T20:29:46Z",
    "title_canon_sha256": "415893edf8cac8e82721810b0e6fa578b1f92fb586d79689280ab04bd3b2bc3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606659",
    "kind": "arxiv",
    "version": 1
  }
}