Pith Number

pith:BGYONE6R

pith:2007:BGYONE6RGRD7QNJ27KGN4BHSJK

not attested not anchored not stored refs pending

The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes

A. Volberg, F. Nazarov, M. Sodin

arxiv:0707.3863 v2 · 2007-07-26 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGYONE6RGRD7QNJ27KGN4BHSJK}

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	2026-05-18T00:54:42.387000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b0e693d13447f8353afa8cde04f24aa076eeaa690026e1d573a81a3db835b5

Aliases

arxiv: 0707.3863 · arxiv_version: 0707.3863v2 · doi: 10.48550/arxiv.0707.3863 · pith_short_12: BGYONE6RGRD7 · pith_short_16: BGYONE6RGRD7QNJ2 · pith_short_8: BGYONE6R

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/BGYONE6RGRD7QNJ27KGN4BHSJK \
  | 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: 09b0e693d13447f8353afa8cde04f24aa076eeaa690026e1d573a81a3db835b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67af08e4786ca285260acc0ce1b1644dd5b31274e348b1b0df2d6083ec83a7d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-26T07:13:37Z",
    "title_canon_sha256": "fb7f00885311bc5c76cc92203aeec5464f4bc0040939b5ddaaadf50bd60ffb9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3863",
    "kind": "arxiv",
    "version": 2
  }
}