Pith Number

pith:AQC47XZJ

pith:2019:AQC47XZJVC24XORGLLBSVENZ4H

not attested not anchored not stored refs pending

A Cheeger type inequality in finite Cayley sum graphs

Arindam Biswas, Jyoti Prakash Saha

arxiv:1907.07710 v2 · 2019-07-17 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQC47XZJVC24XORGLLBSVENZ4H}

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	2026-05-17T23:40:03.114297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0405cfdf29a8b5cbba265ac32a91b9e1c0df3813eac68431419dc80a4cbd89af

Aliases

arxiv: 1907.07710 · arxiv_version: 1907.07710v2 · doi: 10.48550/arxiv.1907.07710 · pith_short_12: AQC47XZJVC24 · pith_short_16: AQC47XZJVC24XORG · pith_short_8: AQC47XZJ

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/AQC47XZJVC24XORGLLBSVENZ4H \
  | 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: 0405cfdf29a8b5cbba265ac32a91b9e1c0df3813eac68431419dc80a4cbd89af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49482e51655112e2c302eae0211a9d053d8f79cba85966962ff7fd125925c15",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T18:30:51Z",
    "title_canon_sha256": "c8b384e5d7543cee53fe46cc0f4ad371c7eaaf5f8c5907b72c6e8307323805f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07710",
    "kind": "arxiv",
    "version": 2
  }
}