Pith Number

pith:B72N3FWV

pith:2019:B72N3FWVWBV3IH3OP6QHTJW6UM

not attested not anchored not stored refs pending

Homological Connectivity in Random \v{C}ech Complexes

Omer Bobrowski

arxiv:1906.04861 v2 · 2019-06-11 · math.PR · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B72N3FWVWBV3IH3OP6QHTJW6UM}

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	2026-05-17T23:43:25.685720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff4dd96d5b06bb41f6e7fa079a6dea3377a8a9971a4b864f386cf46f09e7b97

Aliases

arxiv: 1906.04861 · arxiv_version: 1906.04861v2 · doi: 10.48550/arxiv.1906.04861 · pith_short_12: B72N3FWVWBV3 · pith_short_16: B72N3FWVWBV3IH3O · pith_short_8: B72N3FWV

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/B72N3FWVWBV3IH3OP6QHTJW6UM \
  | 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: 0ff4dd96d5b06bb41f6e7fa079a6dea3377a8a9971a4b864f386cf46f09e7b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74646c71f9e3f9dbc0305ff9c0fc2b8c08a785a7dffc4cbf0cc473f0f7008788",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-11T23:32:06Z",
    "title_canon_sha256": "abeb12e8e0a646c6563155f35cc6cf48c2df9137a35b4bbeb6a1ee21de17b1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04861",
    "kind": "arxiv",
    "version": 2
  }
}