Pith Number

pith:LHKNRCCQ

pith:2025:LHKNRCCQCUULEBGVEX2FTNUQEI

not attested not anchored not stored refs pending

On the statistical nature of Betti numbers and Euler characteristic of smooth random fields

Pravabati Chingangbam

arxiv:2507.06255 v1 · 2025-07-07 · math.ST · astro-ph.CO · math-ph · math.MP · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHKNRCCQCUULEBGVEX2FTNUQEI}

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	2026-07-05T11:34:53.978141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d4d888501528b204d525f459b690223d9a827b7ec38bc9b6f425f86e7e0707

Aliases

arxiv: 2507.06255 · arxiv_version: 2507.06255v1 · doi: 10.48550/arxiv.2507.06255 · pith_short_12: LHKNRCCQCUUL · pith_short_16: LHKNRCCQCUULEBGV · pith_short_8: LHKNRCCQ

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/LHKNRCCQCUULEBGVEX2FTNUQEI \
  | 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: 59d4d888501528b204d525f459b690223d9a827b7ec38bc9b6f425f86e7e0707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcebf6de43aa825347f29e0b4733c0b81eb08dd4ea668d387959380a148d6926",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-07T03:52:21Z",
    "title_canon_sha256": "f56402583c2eaae05246e26d551eb4f415195934a15f2ce59fe7384ff4cb0e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06255",
    "kind": "arxiv",
    "version": 1
  }
}