Pith Number

pith:TP6XXMAK

pith:2018:TP6XXMAKRDXZSYWEYL7ZH2WIRU

not attested not anchored not stored refs pending

Coloring general Kneser graphs and hypergraphs via high-discrepancy hypergraphs

Danila Cherkashin, Jozsef Balogh, Sergei Kiselev

arxiv:1805.09394 v1 · 2018-05-23 · 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{TP6XXMAKRDXZSYWEYL7ZH2WIRU}

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	2026-05-18T00:15:04.156838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfd7bb00a88ef9962c4c2ff93eac88d33b53d0c221795960a563ccb2cc32b0a

Aliases

arxiv: 1805.09394 · arxiv_version: 1805.09394v1 · doi: 10.48550/arxiv.1805.09394 · pith_short_12: TP6XXMAKRDXZ · pith_short_16: TP6XXMAKRDXZSYWE · pith_short_8: TP6XXMAK

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/TP6XXMAKRDXZSYWEYL7ZH2WIRU \
  | 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: 9bfd7bb00a88ef9962c4c2ff93eac88d33b53d0c221795960a563ccb2cc32b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3096ded4608d8d768266381b90a52b93c3b6f22d7c04b13a865d312e2bcb11ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-23T19:31:09Z",
    "title_canon_sha256": "ddf99e533b458221591cf8c8abeeac8742b0abe270762b66fb79cb208fd88018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09394",
    "kind": "arxiv",
    "version": 1
  }
}