Pith Number

pith:CWKZY6LH

pith:2016:CWKZY6LHQJYHBAH7GCSOTRDEOU

not attested not anchored not stored refs pending

Mixed metric dimension of graphs

Aleksander Kelenc, Andrej Taranenko, Dorota Kuziak, Ismael G. Yero

arxiv:1611.04292 v2 · 2016-11-14 · 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{CWKZY6LHQJYHBAH7GCSOTRDEOU}

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	2026-05-18T00:56:45.083512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15959c796782707080ff30a4e9c464751d33f00429bb84c46766a122696578f3

Aliases

arxiv: 1611.04292 · arxiv_version: 1611.04292v2 · doi: 10.48550/arxiv.1611.04292 · pith_short_12: CWKZY6LHQJYH · pith_short_16: CWKZY6LHQJYHBAH7 · pith_short_8: CWKZY6LH

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/CWKZY6LHQJYHBAH7GCSOTRDEOU \
  | 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: 15959c796782707080ff30a4e9c464751d33f00429bb84c46766a122696578f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04dfb2681a01e1909b80c547d7256499fc2eec67d338a62e859013dc28c70233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-14T09:13:09Z",
    "title_canon_sha256": "749844d612f34c82d39d480ba703ccfaffdbac0a5c0a9114bb4410c11fff5525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04292",
    "kind": "arxiv",
    "version": 2
  }
}