Pith Number

pith:PHF6S7SS

pith:2023:PHF6S7SSP2AYMIX2G6H22CTKZJ

not attested not anchored not stored refs pending

On the Connectivity of the Vietoris-Rips Complex of a Hypercube Graph

Jelena Grbic, Martin Bendersky

arxiv:2311.06407 v1 · 2023-11-10 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHF6S7SSP2AYMIX2G6H22CTKZJ}

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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

2 papers in Pith

Homotopy connectivity of \v{C}ech complexes of spheres

A $\mathbb{Z}_2$-Topological Framework for Sign-rank Lower Bounds

Receipt and verification

First computed	2026-07-05T07:11:39.577987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cbe97e527e818622fa378fad0a6aca477779596186f26b9aa014b1e8188b25

Aliases

arxiv: 2311.06407 · arxiv_version: 2311.06407v1 · doi: 10.48550/arxiv.2311.06407 · pith_short_12: PHF6S7SSP2AY · pith_short_16: PHF6S7SSP2AYMIX2 · pith_short_8: PHF6S7SS

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/PHF6S7SSP2AYMIX2G6H22CTKZJ \
  | 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: 79cbe97e527e818622fa378fad0a6aca477779596186f26b9aa014b1e8188b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc949e96f36ced4ed6be7bef315aedc59cb321c24ebdaaaa8e6546339b6563e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-10T21:54:12Z",
    "title_canon_sha256": "16d59cc2363574581868d4fb371cd34ef7ca5f55783f54f46467c542e8db1a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.06407",
    "kind": "arxiv",
    "version": 1
  }
}