Pith Number

pith:GLZ6KCTO

pith:2006:GLZ6KCTODTE7CZYID4HGX7C4EK

not attested not anchored not stored refs pending

Betti number signatures of homogeneous Poisson point processes

Vanessa Robins

arxiv:math-ph/0609061 v1 · 2006-09-22 · math-ph · 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{GLZ6KCTODTE7CZYID4HGX7C4EK}

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.

Cited by

1 paper in Pith

Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams

Receipt and verification

First computed	2026-07-04T17:02:07.280080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f3e50a6e1cc9f167081f0e6bfc5c22a04da4aa9e0b8904192206d43dd4448e

Aliases

arxiv: math-ph/0609061 · arxiv_version: math-ph/0609061v1 · doi: 10.48550/arxiv.math-ph/0609061 · pith_short_12: GLZ6KCTODTE7 · pith_short_16: GLZ6KCTODTE7CZYI · pith_short_8: GLZ6KCTO

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/GLZ6KCTODTE7CZYID4HGX7C4EK \
  | 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: 32f3e50a6e1cc9f167081f0e6bfc5c22a04da4aa9e0b8904192206d43dd4448e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81754c5a1184fd1aed69105892241fc9df852285c64dd4ac85a2811b2527e29",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-22T04:49:40Z",
    "title_canon_sha256": "5225b08d66a93451feea8bd57ba05a56dd618f3a02bb85724a80baae123bed1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609061",
    "kind": "arxiv",
    "version": 1
  }
}