Pith Number

pith:RTWVTUNE

pith:2024:RTWVTUNE3KOUEDSEX4KEEMOPIK

not attested not anchored not stored refs pending

The connectivity of Vietoris-Rips complexes of spheres

Henry Adams, Johnathan Bush, \v{Z}iga Virk

arxiv:2407.15818 v2 · 2024-07-22 · math.AT · math.MG

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\usepackage{pith}
\pithnumber{RTWVTUNE3KOUEDSEX4KEEMOPIK}

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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

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

Receipt and verification

First computed	2026-07-05T08:59:53.266968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ced59d1a4da9d420e44bf144231cf42a73ad80104b1310db5da109c92d53558

Aliases

arxiv: 2407.15818 · arxiv_version: 2407.15818v2 · doi: 10.48550/arxiv.2407.15818 · pith_short_12: RTWVTUNE3KOU · pith_short_16: RTWVTUNE3KOUEDSE · pith_short_8: RTWVTUNE

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/RTWVTUNE3KOUEDSEX4KEEMOPIK \
  | 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: 8ced59d1a4da9d420e44bf144231cf42a73ad80104b1310db5da109c92d53558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f519a6208bbdbbd9d71956eec01e003d036f498cfcf23b42b16fdeae374eb27a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-07-22T17:33:22Z",
    "title_canon_sha256": "0b2bff68538897acaedb40e5ffc9796f1c5770a801a7cded7a5f9215d0a5c2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.15818",
    "kind": "arxiv",
    "version": 2
  }
}