Pith Number

pith:N32NDTNU

pith:2018:N32NDTNULQMBRUMDV2OWOIXCWG

not attested not anchored not stored refs pending

On relative clique number of colored mixed graphs

Debdeep Roy, Sagnik Sen, Sandip Das, Soumen Nandi

arxiv:1810.05503 v1 · 2018-10-12 · 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{N32NDTNULQMBRUMDV2OWOIXCWG}

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	2026-05-18T00:03:30.282968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef4d1cdb45c1818d183ae9d6722e2b1a7452858d85be440bd1c84e50c91066d

Aliases

arxiv: 1810.05503 · arxiv_version: 1810.05503v1 · doi: 10.48550/arxiv.1810.05503 · pith_short_12: N32NDTNULQMB · pith_short_16: N32NDTNULQMBRUMD · pith_short_8: N32NDTNU

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/N32NDTNULQMBRUMDV2OWOIXCWG \
  | 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: 6ef4d1cdb45c1818d183ae9d6722e2b1a7452858d85be440bd1c84e50c91066d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91360c0b06ed07b9a46c195817ef2fa796497118db8b108184be1117a8af8069",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-10-12T13:47:01Z",
    "title_canon_sha256": "1a6143f36a302c610bb4f41ca42536b5bf87fff030570f179bdd73a9ba2bcb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05503",
    "kind": "arxiv",
    "version": 1
  }
}