Pith Number

pith:GBHHVALM

pith:2015:GBHHVALMINTWGSO5QX6Z4MB6WI

not attested not anchored not stored refs pending

General Cheeger inequalities for p-Laplacians on graphs

Delio Mugnolo, Matthias Keller

arxiv:1509.06062 v1 · 2015-09-20 · math.CO · math.CA · math.DG · math.DS · 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{GBHHVALMINTWGSO5QX6Z4MB6WI}

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	2026-05-17T23:57:54.463892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304e7a816c43676349dd85fd9e303eb227cbda6a2577d4ddb603b8a5269a30d7

Aliases

arxiv: 1509.06062 · arxiv_version: 1509.06062v1 · doi: 10.48550/arxiv.1509.06062 · pith_short_12: GBHHVALMINTW · pith_short_16: GBHHVALMINTWGSO5 · pith_short_8: GBHHVALM

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/GBHHVALMINTWGSO5QX6Z4MB6WI \
  | 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: 304e7a816c43676349dd85fd9e303eb227cbda6a2577d4ddb603b8a5269a30d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72e9423745f9429e02d2a3ffbe5a43c32aec12bc12db45c7c400dcdcaab387f",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-20T21:41:05Z",
    "title_canon_sha256": "bec0599f7109152880226aa1b9857feecf16ed6c1794d5e418fda7e7fcb2913e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06062",
    "kind": "arxiv",
    "version": 1
  }
}