Pith Number

pith:MV7CPAPE

pith:2018:MV7CPAPEJ6FTA6JKCUHU3G565B

not attested not anchored not stored refs pending

Vanishing of cohomology groups of random simplicial complexes

Mihyun Kang, Nicola Del Giudice, Oliver Cooley, Philipp Spr\"ussel

arxiv:1806.04566 v1 · 2018-06-12 · math.CO · math.GT · 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{MV7CPAPEJ6FTA6JKCUHU3G565B}

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	2026-05-18T00:13:33.398281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657e2781e44f8b30792a150f4d9bbee84f5e1f807dc629df3620a47350790551

Aliases

arxiv: 1806.04566 · arxiv_version: 1806.04566v1 · doi: 10.48550/arxiv.1806.04566 · pith_short_12: MV7CPAPEJ6FT · pith_short_16: MV7CPAPEJ6FTA6JK · pith_short_8: MV7CPAPE

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/MV7CPAPEJ6FTA6JKCUHU3G565B \
  | 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: 657e2781e44f8b30792a150f4d9bbee84f5e1f807dc629df3620a47350790551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f351f20176fd465f98a23d5427586648022b20b8bc922eac1073bed2a47bd1a2",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-12T14:45:37Z",
    "title_canon_sha256": "c07ea637e5f4afb47fa1dd7f450e60c7abc7389d366063642495766427767caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04566",
    "kind": "arxiv",
    "version": 1
  }
}