Pith Number

pith:T75GHFCD

pith:2016:T75GHFCDFDQ5GCBIIGOWLCFK54

not attested not anchored not stored refs pending

The first Cheeger constant of a simplex

D.N. Kozlov

arxiv:1610.07136 v2 · 2016-10-23 · 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{T75GHFCDFDQ5GCBIIGOWLCFK54}

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	2026-05-18T00:35:55.512733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffa63944328e1d30828419d6588aaef398691288e5f800cfcaa7d96cdb3a868

Aliases

arxiv: 1610.07136 · arxiv_version: 1610.07136v2 · doi: 10.48550/arxiv.1610.07136 · pith_short_12: T75GHFCDFDQ5 · pith_short_16: T75GHFCDFDQ5GCBI · pith_short_8: T75GHFCD

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/T75GHFCDFDQ5GCBIIGOWLCFK54 \
  | 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: 9ffa63944328e1d30828419d6588aaef398691288e5f800cfcaa7d96cdb3a868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d7a303f6766fec03a309357f3a935bbcd859710683795ec99057d95540ac74a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-23T09:10:03Z",
    "title_canon_sha256": "7bd05888cfc72ca64532ca017f286d302ec7c3654946f46480a5bed527d652d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07136",
    "kind": "arxiv",
    "version": 2
  }
}