Pith Number

pith:ISZ5VVY4

pith:2007:ISZ5VVY4JRZTOVZWDRTUWAYOYU

not attested not anchored not stored refs pending

Two-sided optimal bounds for Green function of half-spaces for relativistic $\alpha$-stable process

Micha{\l} Ryznar, Tomasz Grzywny

arxiv:0706.1175 v2 · 2007-06-08 · 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{ISZ5VVY4JRZTOVZWDRTUWAYOYU}

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	2026-05-18T04:18:53.514460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b3dad71c4c733757361c674b030ec5206771b0e063ea9a028384ee6f178737

Aliases

arxiv: 0706.1175 · arxiv_version: 0706.1175v2 · doi: 10.48550/arxiv.0706.1175 · pith_short_12: ISZ5VVY4JRZT · pith_short_16: ISZ5VVY4JRZTOVZW · pith_short_8: ISZ5VVY4

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/ISZ5VVY4JRZTOVZWDRTUWAYOYU \
  | 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: 44b3dad71c4c733757361c674b030ec5206771b0e063ea9a028384ee6f178737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e1dc122d772a31b3994463bfc63b9b810870eba81c78a646d230491e2ed2c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-08T12:47:12Z",
    "title_canon_sha256": "d3c3f0f0280b7feb0218d1ab2055ddad2822006d7b5cb1c0461f59603a02147e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1175",
    "kind": "arxiv",
    "version": 2
  }
}