Pith Number

pith:67CG723I

pith:2012:67CG723I5BQIUWCKYB3OWS7CZU

not attested not anchored not stored refs pending

On the spectral moment of graphs with $k$ cut edges

Huihui Zhang, Shuchao Li

arxiv:1209.2528 v1 · 2012-09-12 · 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{67CG723I5BQIUWCKYB3OWS7CZU}

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	2026-05-18T03:45:42.880706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c46feb68e8608a584ac076eb4be2cd2be73cef14fffac8ce1f21c5499faba8

Aliases

arxiv: 1209.2528 · arxiv_version: 1209.2528v1 · doi: 10.48550/arxiv.1209.2528 · pith_short_12: 67CG723I5BQI · pith_short_16: 67CG723I5BQIUWCK · pith_short_8: 67CG723I

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/67CG723I5BQIUWCKYB3OWS7CZU \
  | 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: f7c46feb68e8608a584ac076eb4be2cd2be73cef14fffac8ce1f21c5499faba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe775814a95de5353ed2a6c850e0f5d815421c833489c8f42548b2ead5baf914",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-12T09:09:33Z",
    "title_canon_sha256": "a3f0bd781a07243c3d8f075a0c3059296fc0d4bf161108181b4045740dd49034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2528",
    "kind": "arxiv",
    "version": 1
  }
}