Pith Number

pith:T5FDCWQT

pith:2012:T5FDCWQTZR4YTHJ474V65M6XEY

not attested not anchored not stored refs pending

On the Intersection of Tolerance and Cocomparability Graphs

George B. Mertzios, Shmuel Zaks

arxiv:1207.0552 v1 · 2012-07-03 · 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{T5FDCWQTZR4YTHJ474V65M6XEY}

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	2026-05-18T03:51:57.808498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4a315a13cc79899d3cff2beeb3d7262c593e140030689764bd9a2b89e505a8

Aliases

arxiv: 1207.0552 · arxiv_version: 1207.0552v1 · doi: 10.48550/arxiv.1207.0552 · pith_short_12: T5FDCWQTZR4Y · pith_short_16: T5FDCWQTZR4YTHJ4 · pith_short_8: T5FDCWQT

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/T5FDCWQTZR4YTHJ474V65M6XEY \
  | 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: 9f4a315a13cc79899d3cff2beeb3d7262c593e140030689764bd9a2b89e505a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ce2f601febf0456f3cc9f6cf089dbc68ec3086998757fe09f68aa84fde1fcf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-03T00:41:31Z",
    "title_canon_sha256": "9888bfa45f14c164f9f7de04408f018f6f637222221955075d60d9ce1fced830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0552",
    "kind": "arxiv",
    "version": 1
  }
}