Pith Number

pith:IYLFDR5B

pith:2011:IYLFDR5BGVTSID3DWARTVHD5IX

not attested not anchored not stored refs pending

On the super connectivity of Kronecker products of graphs

Erfang Shan, Hechao Wang

arxiv:1105.1567 v1 · 2011-05-09 · 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{IYLFDR5BGVTSID3DWARTVHD5IX}

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	2026-05-18T04:22:39.179065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461651c7a13567240f63b0233a9c7d45c276e51b9a68e6de7aa4e08adc0545eb

Aliases

arxiv: 1105.1567 · arxiv_version: 1105.1567v1 · doi: 10.48550/arxiv.1105.1567 · pith_short_12: IYLFDR5BGVTS · pith_short_16: IYLFDR5BGVTSID3D · pith_short_8: IYLFDR5B

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/IYLFDR5BGVTSID3DWARTVHD5IX \
  | 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: 461651c7a13567240f63b0233a9c7d45c276e51b9a68e6de7aa4e08adc0545eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8804aaa9963c635db90686836567838d52fd327b7797db6b1a8cee3542b3706",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-09T01:44:46Z",
    "title_canon_sha256": "78392f9c95698206c5c8763639b7243a182e340a2cebc8fa419ada6542df776c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1567",
    "kind": "arxiv",
    "version": 1
  }
}