Pith Number

pith:LKYA2MFZ

pith:2025:LKYA2MFZHGG7CPHNR44ISB3OD7

not attested not anchored not stored refs pending

Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model

Dominik Pabst

arxiv:2506.13429 v1 · 2025-06-16 · 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{LKYA2MFZHGG7CPHNR44ISB3OD7}

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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

Percolation in the marked stationary Random Connection Model for higher-dimensional simplicial complexes

Receipt and verification

First computed	2026-07-05T11:22:10.239803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab00d30b9398df13ced8f3889076e1fcc238e336bd760d04f7141e0616596ca

Aliases

arxiv: 2506.13429 · arxiv_version: 2506.13429v1 · doi: 10.48550/arxiv.2506.13429 · pith_short_12: LKYA2MFZHGG7 · pith_short_16: LKYA2MFZHGG7CPHN · pith_short_8: LKYA2MFZ

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/LKYA2MFZHGG7CPHNR44ISB3OD7 \
  | 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: 5ab00d30b9398df13ced8f3889076e1fcc238e336bd760d04f7141e0616596ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafc4075e969653365f8d9f293405dd45e0d1e2dadff4f40bb367ba5e1072315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-16T12:46:23Z",
    "title_canon_sha256": "1044fa8b45295a39f2ac25fc24a4b3c6b5f743a1bd9e0e2b053ebcb880a12c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13429",
    "kind": "arxiv",
    "version": 1
  }
}