Pith Number

pith:76GKJWHN

pith:2011:76GKJWHNAAP3F573CFGAFJE5PM

not attested not anchored not stored refs pending

On harmonic functions of symmetric Levy processes

Ante Mimica

arxiv:1109.3676 v2 · 2011-09-16 · 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{76GKJWHNAAP3F573CFGAFJE5PM}

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	2026-05-18T04:03:56.834739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8ca4d8ed001fb2f7fb114c02a49d7b3fb4ded4afe95b690349ecc3a59edd0a

Aliases

arxiv: 1109.3676 · arxiv_version: 1109.3676v2 · doi: 10.48550/arxiv.1109.3676 · pith_short_12: 76GKJWHNAAP3 · pith_short_16: 76GKJWHNAAP3F573 · pith_short_8: 76GKJWHN

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/76GKJWHNAAP3F573CFGAFJE5PM \
  | 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: ff8ca4d8ed001fb2f7fb114c02a49d7b3fb4ded4afe95b690349ecc3a59edd0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e6d377a70c987b697fd0be19427414faeb786bf3f49e11311fbd3b8c2ca2bf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-16T17:55:59Z",
    "title_canon_sha256": "ddbe4ab69a03a74a4b87c2629e10b2cf54a85e36d3a01c0f5b11cdbf2e257ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3676",
    "kind": "arxiv",
    "version": 2
  }
}