Pith Number

pith:UPGSJ34L

pith:2013:UPGSJ34LWNQSN5XWFIXEMHMC77

not attested not anchored not stored refs pending

Independent set in categorical products of cographs and splitgraphs

S. Liu, S. Poon, T. Kloks, W. Hon, Y. Wang

arxiv:1305.4237 v1 · 2013-05-18 · cs.DM · 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{UPGSJ34LWNQSN5XWFIXEMHMC77}

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	2026-05-18T03:25:24.454609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cd24ef8bb36126f6f62a2e461d82ffeb1c96a33d97150afcf5757dce649114

Aliases

arxiv: 1305.4237 · arxiv_version: 1305.4237v1 · doi: 10.48550/arxiv.1305.4237 · pith_short_12: UPGSJ34LWNQS · pith_short_16: UPGSJ34LWNQSN5XW · pith_short_8: UPGSJ34L

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/UPGSJ34LWNQSN5XWFIXEMHMC77 \
  | 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: a3cd24ef8bb36126f6f62a2e461d82ffeb1c96a33d97150afcf5757dce649114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5726a518e0b2a87dd907351f3c64d047837ca884ab80006ba40529d91d75d576",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-05-18T07:07:08Z",
    "title_canon_sha256": "7f8470e64825befea1df7714ca603e1698b8257af2d43cfed0fc2bebb504b58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4237",
    "kind": "arxiv",
    "version": 1
  }
}