Pith Number

pith:326JBLYJ

pith:2012:326JBLYJMPPND4QKBG7QWY4ZKP

not attested not anchored not stored refs pending

On the spectral moment of graphs with given clique number

Shuchao Li, Shuna Hu, Xixi Zhang

arxiv:1209.3455 v1 · 2012-09-16 · 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{326JBLYJMPPND4QKBG7QWY4ZKP}

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	2026-05-18T03:45:30.932912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

debc90af0963ded1f20a09bf0b639953e775927d8e2ae52f956eb7dea2c64dd4

Aliases

arxiv: 1209.3455 · arxiv_version: 1209.3455v1 · doi: 10.48550/arxiv.1209.3455 · pith_short_12: 326JBLYJMPPN · pith_short_16: 326JBLYJMPPND4QK · pith_short_8: 326JBLYJ

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/326JBLYJMPPND4QKBG7QWY4ZKP \
  | 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: debc90af0963ded1f20a09bf0b639953e775927d8e2ae52f956eb7dea2c64dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aad7507ef6bd1ae76532057615f93f274997f7bcf3292067565e46cbeeb4364",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-16T01:55:21Z",
    "title_canon_sha256": "38e1ed2049701e1ad0e128930cad7c4e8be0539b9c8a334e1fcf1c3f02bcdda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3455",
    "kind": "arxiv",
    "version": 1
  }
}