Pith Number

pith:JBCHXUKR

pith:2015:JBCHXUKREYQHPOD3V6BJTPXMOW

not attested not anchored not stored refs pending

Fractional Clique Decompositions of Dense Graphs and Hypergraphs

Allan Lo, Ben Barber, Daniela K\"uhn, Deryk Osthus, Richard Montgomery

arxiv:1507.04985 v2 · 2015-07-17 · 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{JBCHXUKREYQHPOD3V6BJTPXMOW}

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	2026-05-18T00:06:44.141223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48447bd151262077b87baf8299beec758c0eb901658fb99a9458c215435cc1e6

Aliases

arxiv: 1507.04985 · arxiv_version: 1507.04985v2 · doi: 10.48550/arxiv.1507.04985 · pith_short_12: JBCHXUKREYQH · pith_short_16: JBCHXUKREYQHPOD3 · pith_short_8: JBCHXUKR

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/JBCHXUKREYQHPOD3V6BJTPXMOW \
  | 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: 48447bd151262077b87baf8299beec758c0eb901658fb99a9458c215435cc1e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f938473e5ad582e1a2d52f8db56c7383d09d2253e71d006cdf0554da74dc57d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T14:29:36Z",
    "title_canon_sha256": "35a7ed7c403881988dd582ca623b0fdc35c5f46ad7e3aabaf4bf61fe24339729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04985",
    "kind": "arxiv",
    "version": 2
  }
}