Pith Number

pith:5E5IAQCK

pith:2015:5E5IAQCKQE7UVUMIN3XGT6FWM4

not attested not anchored not stored refs pending

Automorphism Groups of Comparability Graphs

Pavel Klav\'ik, Peter Zeman

arxiv:1506.05064 v1 · 2015-06-16 · 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{5E5IAQCKQE7UVUMIN3XGT6FWM4}

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	2026-05-18T01:48:05.094932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e93a80404a813f4ad1886eee69f8b6673ad0a2b7ebaa99627c849a779b17ad13

Aliases

arxiv: 1506.05064 · arxiv_version: 1506.05064v1 · doi: 10.48550/arxiv.1506.05064 · pith_short_12: 5E5IAQCKQE7U · pith_short_16: 5E5IAQCKQE7UVUMI · pith_short_8: 5E5IAQCK

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/5E5IAQCKQE7UVUMIN3XGT6FWM4 \
  | 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: e93a80404a813f4ad1886eee69f8b6673ad0a2b7ebaa99627c849a779b17ad13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b023858c3867495ad36bc46e0a7a250283e5f8e6de0bb6e12eeeb43a31840a49",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-06-16T18:40:42Z",
    "title_canon_sha256": "e07916778a4174045978c283bce9e84bb87e8814bfed7b5d7856097194127d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05064",
    "kind": "arxiv",
    "version": 1
  }
}