Pith Number

pith:TFQEGAVQ

pith:2012:TFQEGAVQ6GTZ7LOWE37IAV2RA2

not attested not anchored not stored refs pending

Cheeger inequalities for unbounded graph Laplacians

Frank Bauer, Matthias Keller, Rados{\l}aw K. Wojciechowski

arxiv:1209.4911 v1 · 2012-09-21 · math.SP · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFQEGAVQ6GTZ7LOWE37IAV2RA2}

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	2026-05-18T03:44:59.727398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99604302b0f1a79fadd626fe80575106b702f48b699220237227d9e22cc83661

Aliases

arxiv: 1209.4911 · arxiv_version: 1209.4911v1 · doi: 10.48550/arxiv.1209.4911 · pith_short_12: TFQEGAVQ6GTZ · pith_short_16: TFQEGAVQ6GTZ7LOW · pith_short_8: TFQEGAVQ

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/TFQEGAVQ6GTZ7LOWE37IAV2RA2 \
  | 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: 99604302b0f1a79fadd626fe80575106b702f48b699220237227d9e22cc83661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79636770de5ce6a701f91bd573ca7c9de572d264577d93ae589b19a0cdfb771c",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-09-21T20:25:16Z",
    "title_canon_sha256": "93ec7d555656b76c7c6037ac5e650d259c3a8079578a639a6aeab7d8dcbf54ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4911",
    "kind": "arxiv",
    "version": 1
  }
}