Pith Number

pith:Q5BZZZV3

pith:2015:Q5BZZZV3R4ILQKJHN7VJUHS5SH

not attested not anchored not stored refs pending

Bipartite noisy hypercubes have large higher-order Cheeger separation

Kelly Yancey, Matthew Yancey

arxiv:1504.06561 v3 · 2015-04-24 · 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{Q5BZZZV3R4ILQKJHN7VJUHS5SH}

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	2026-05-18T01:18:47.188616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87439ce6bb8f10b829276fea9a1e5d91cce87d02b0e62dad1f90bbad0a2ff02f

Aliases

arxiv: 1504.06561 · arxiv_version: 1504.06561v3 · doi: 10.48550/arxiv.1504.06561 · pith_short_12: Q5BZZZV3R4IL · pith_short_16: Q5BZZZV3R4ILQKJH · pith_short_8: Q5BZZZV3

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/Q5BZZZV3R4ILQKJHN7VJUHS5SH \
  | 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: 87439ce6bb8f10b829276fea9a1e5d91cce87d02b0e62dad1f90bbad0a2ff02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5467794aa732d5f722389547762db79d606b638fccb149a529935b538fadb4e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-24T16:35:51Z",
    "title_canon_sha256": "a330989cf9614a5b99c37ffe034d36b2e36d9ee9bdf7eb1aef984b1ccd8e3ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06561",
    "kind": "arxiv",
    "version": 3
  }
}