Pith Number

pith:VSMUWCVR

pith:2012:VSMUWCVR5XE6UULLMZQZNW43D4

not attested not anchored not stored refs pending

A Cheeger Inequality for the Graph Connection Laplacian

Afonso S. Bandeira, Amit Singer, Daniel A. Spielman

arxiv:1204.3873 v2 · 2012-04-17 · math.SP · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSMUWCVR5XE6UULLMZQZNW43D4}

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	2026-05-18T03:12:48.605506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac994b0ab1edc9ea516b666196db9b1f373e13ae52246d7ca745bcf716371703

Aliases

arxiv: 1204.3873 · arxiv_version: 1204.3873v2 · doi: 10.48550/arxiv.1204.3873 · pith_short_12: VSMUWCVR5XE6 · pith_short_16: VSMUWCVR5XE6UULL · pith_short_8: VSMUWCVR

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/VSMUWCVR5XE6UULLMZQZNW43D4 \
  | 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: ac994b0ab1edc9ea516b666196db9b1f373e13ae52246d7ca745bcf716371703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e8619da28f0732460c0cfef51df63ac69c3ebbd54474424c805694fb4b8568",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-04-17T18:37:46Z",
    "title_canon_sha256": "edb7957b12a28590ee34823473aa2df4e3c597285c3a1dd274335b6b36fb5e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3873",
    "kind": "arxiv",
    "version": 2
  }
}