Pith Number

pith:C6IX5URF

pith:2016:C6IX5URFWKPVPHEKRUM33MIFQD

not attested not anchored not stored refs pending

The Dynamic Descriptive Complexity of k-Clique

Thomas Zeume

arxiv:1610.09089 v1 · 2016-10-28 · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6IX5URFWKPVPHEKRUM33MIFQD}

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	2026-05-18T01:00:59.183858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17917ed225b29f579c8a8d19bdb10580cf362849f7e645e393c624333b4d2f77

Aliases

arxiv: 1610.09089 · arxiv_version: 1610.09089v1 · doi: 10.48550/arxiv.1610.09089 · pith_short_12: C6IX5URFWKPV · pith_short_16: C6IX5URFWKPVPHEK · pith_short_8: C6IX5URF

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/C6IX5URFWKPVPHEKRUM33MIFQD \
  | 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: 17917ed225b29f579c8a8d19bdb10580cf362849f7e645e393c624333b4d2f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ab3e722b7bda57979f17e0f31cd9b1c9523c633b5a001148259d382e82e3cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-10-28T06:25:27Z",
    "title_canon_sha256": "9ab9d57bcda7232a43b5d8076ae748b2c136ce1b4cd9631610c56211c067ed52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09089",
    "kind": "arxiv",
    "version": 1
  }
}