Pith Number

pith:CZJRFALA

pith:2013:CZJRFALAXVXEMG3GPPWNH2WIRT

not attested not anchored not stored refs pending

Colorful hypergraphs in Kneser hypergraphs

Fr\'ed\'eric Meunier

arxiv:1306.1112 v1 · 2013-06-05 · 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{CZJRFALAXVXEMG3GPPWNH2WIRT}

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	2026-05-18T03:21:44.318002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1653128160bd6e461b667becd3eac88cc0a1418e24283a56087bf8bd5d78ac14

Aliases

arxiv: 1306.1112 · arxiv_version: 1306.1112v1 · doi: 10.48550/arxiv.1306.1112 · pith_short_12: CZJRFALAXVXE · pith_short_16: CZJRFALAXVXEMG3G · pith_short_8: CZJRFALA

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/CZJRFALAXVXEMG3GPPWNH2WIRT \
  | 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: 1653128160bd6e461b667becd3eac88cc0a1418e24283a56087bf8bd5d78ac14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8222d929eeef5f5175faa75e6f0ec6bb76b3a271e72bc4473314cd2fda5ccb5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-05T14:17:17Z",
    "title_canon_sha256": "cc2f0968065ba4798f6408ec7ccf02b420eea5fe7ab60d8a6c29e46047aaa8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1112",
    "kind": "arxiv",
    "version": 1
  }
}