Pith Number

pith:CIM274QV

pith:2016:CIM274QVZJPOW67BPJHH22Z5LM

not attested not anchored not stored refs pending

The Cheeger constant of a quantum graph

Delio Mugnolo, James B. Kennedy

arxiv:1604.07453 v2 · 2016-04-25 · math.CO · 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{CIM274QVZJPOW67BPJHH22Z5LM}

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	2026-05-18T00:09:53.404297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1219aff215ca5eeb7be17a4e7d6b3d5b00bd0c82a6be115f2632c50710d56bf0

Aliases

arxiv: 1604.07453 · arxiv_version: 1604.07453v2 · doi: 10.48550/arxiv.1604.07453 · pith_short_12: CIM274QVZJPO · pith_short_16: CIM274QVZJPOW67B · pith_short_8: CIM274QV

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/CIM274QVZJPOW67BPJHH22Z5LM \
  | 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: 1219aff215ca5eeb7be17a4e7d6b3d5b00bd0c82a6be115f2632c50710d56bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2371b8a84012e462ddea492a2b4d51b237c660c039e23745affe846c3534311a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T21:37:20Z",
    "title_canon_sha256": "197ae37cffb83c380dd301c0983171dc5b7b40db5106b844a1f05bd3cd5490ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07453",
    "kind": "arxiv",
    "version": 2
  }
}