Pith Number

pith:32RPDJXL

pith:2014:32RPDJXLDKI3Z2RHBL5CNHSXK4

not attested not anchored not stored refs pending

A Generalized Cheeger Inequality

Gary Miller, Ioannis Koutis, Richard Peng

arxiv:1412.6075 v1 · 2014-10-22 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32RPDJXLDKI3Z2RHBL5CNHSXK4}

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	2026-05-18T02:30:55.527044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea2f1a6eb1a91bcea270afa269e5757076039d63f000bc4c8a2ef1abc0dc04c

Aliases

arxiv: 1412.6075 · arxiv_version: 1412.6075v1 · doi: 10.48550/arxiv.1412.6075 · pith_short_12: 32RPDJXLDKI3 · pith_short_16: 32RPDJXLDKI3Z2RH · pith_short_8: 32RPDJXL

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/32RPDJXLDKI3Z2RHBL5CNHSXK4 \
  | 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: dea2f1a6eb1a91bcea270afa269e5757076039d63f000bc4c8a2ef1abc0dc04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd3d6e925a63b87eb693fade8ebdc03fa13cc9d7d4526a26970bd31f5aa7b78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-10-22T15:48:54Z",
    "title_canon_sha256": "008845344895edd81a3727455e7716d03ebd6c8f6b6e4b9e2f3ce4b900380df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6075",
    "kind": "arxiv",
    "version": 1
  }
}