Pith Number

pith:IRT4KYFF

pith:2020:IRT4KYFFLNX2X23M4E3NYOADOJ

not attested not anchored not stored refs pending

Berge cycles in non-uniform hypergraphs

Alexandr Kostochka, Ruth Luo, Zoltan Furedi

arxiv:2002.01597 v1 · 2020-02-05 · 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{IRT4KYFFLNX2X23M4E3NYOADOJ}

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	2026-07-05T00:38:38.867701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4467c560a55b6fabeb6ce136dc380372425105c184cf841b1b9de21540720464

Aliases

arxiv: 2002.01597 · arxiv_version: 2002.01597v1 · doi: 10.48550/arxiv.2002.01597 · pith_short_12: IRT4KYFFLNX2 · pith_short_16: IRT4KYFFLNX2X23M · pith_short_8: IRT4KYFF

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/IRT4KYFFLNX2X23M4E3NYOADOJ \
  | 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: 4467c560a55b6fabeb6ce136dc380372425105c184cf841b1b9de21540720464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f6bcc494d9b23f06955b195f8ea8e3318bd615c2b4e15fc60e681388232562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-02-05T01:14:11Z",
    "title_canon_sha256": "de9acd9c537e1fb804a157ba69c659a2368d1125d3caff5171ca0eaedc18071c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01597",
    "kind": "arxiv",
    "version": 1
  }
}