Pith Number

pith:32FTIGB6

pith:2014:32FTIGB6IUWAZ3V5Q27G7YJVKW

not attested not anchored not stored refs pending

The (p,q)-extremal problem and the fractional chromatic number of Kneser hypergraphs

Deborah Oliveros, Gabriela Araujo-Pardo, Juan Carlos D\'iaz-Pati\~no, Luis Montejano

arxiv:1408.3197 v1 · 2014-08-14 · 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{32FTIGB6IUWAZ3V5Q27G7YJVKW}

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	2026-05-18T02:45:13.573791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8b34183e452c0ceebd86be6fe1355584ead60dc13ab0e0d10b146ce83fbe57

Aliases

arxiv: 1408.3197 · arxiv_version: 1408.3197v1 · doi: 10.48550/arxiv.1408.3197 · pith_short_12: 32FTIGB6IUWA · pith_short_16: 32FTIGB6IUWAZ3V5 · pith_short_8: 32FTIGB6

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/32FTIGB6IUWAZ3V5Q27G7YJVKW \
  | 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: de8b34183e452c0ceebd86be6fe1355584ead60dc13ab0e0d10b146ce83fbe57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b519438e262cb9e9a6f792a637b871d90039f5ac59aa4646f615673367bbc64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-14T05:53:44Z",
    "title_canon_sha256": "d30c6a8010eecccc503d37479964258a59385d8d867e0991bdd44a154a04120a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3197",
    "kind": "arxiv",
    "version": 1
  }
}