Pith Number

pith:4CKONEUE

pith:2019:4CKONEUEKDCOVMQLZBB3X57ZA6

not attested not anchored not stored refs pending

Hypergraphs without exponents

D\'aniel Gerbner, Zolt\'an F\"uredi

arxiv:1906.06657 v1 · 2019-06-16 · 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{4CKONEUEKDCOVMQLZBB3X57ZA6}

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	2026-05-17T23:43:13.012478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e094e6928450c4eab20bc843bbf7f907a16b2762471b9dd9d99d467b2b7bf297

Aliases

arxiv: 1906.06657 · arxiv_version: 1906.06657v1 · doi: 10.48550/arxiv.1906.06657 · pith_short_12: 4CKONEUEKDCO · pith_short_16: 4CKONEUEKDCOVMQL · pith_short_8: 4CKONEUE

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/4CKONEUEKDCOVMQLZBB3X57ZA6 \
  | 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: e094e6928450c4eab20bc843bbf7f907a16b2762471b9dd9d99d467b2b7bf297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a66b0f196dd8dab675f78cd60f10792727853fec9858857ca15d2b7c21a66d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-16T07:15:31Z",
    "title_canon_sha256": "de0d7ccda845844d38187241bf9b796995b6b5d3e5ef5393b85180e40bbbbb87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06657",
    "kind": "arxiv",
    "version": 1
  }
}