Pith Number

pith:VBQYLNWG

pith:2017:VBQYLNWGYY6GNNIATZIGB3UXO2

not attested not anchored not stored refs pending

Proof of the Honeycomb Asymptotics for Optimal Cheeger Clusters

Dorin Bucur, Ilaria Fragala

arxiv:1707.00605 v1 · 2017-06-30 · math.MG · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBQYLNWGYY6GNNIATZIGB3UXO2}

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	2026-05-18T00:41:02.921231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86185b6c6c63c66b5009e5060ee97768686ac0b12b3b83b7d63112c9a23d5bc

Aliases

arxiv: 1707.00605 · arxiv_version: 1707.00605v1 · doi: 10.48550/arxiv.1707.00605 · pith_short_12: VBQYLNWGYY6G · pith_short_16: VBQYLNWGYY6GNNIA · pith_short_8: VBQYLNWG

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/VBQYLNWGYY6GNNIATZIGB3UXO2 \
  | 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: a86185b6c6c63c66b5009e5060ee97768686ac0b12b3b83b7d63112c9a23d5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2f26b4ec72127c07b0402b8b66d708e78910245f207a6bd43c15d7e32a23b7",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-06-30T16:54:04Z",
    "title_canon_sha256": "ac9be3c2bd7e84f87e8e510824aee14870e39b6e02492b9ff883b9a52fdfa98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00605",
    "kind": "arxiv",
    "version": 1
  }
}