Pith Number

pith:KJZZON5M

pith:2016:KJZZON5MXJYLKTTOC6CK6UJMLL

not attested not anchored not stored refs pending

Counting results for sparse pseudorandom hypergraphs II

Anusch Taraz, Guilherme O. Mota, Mathias Schacht, Yoshiharu Kohayakawa

arxiv:1602.08784 v1 · 2016-02-28 · 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{KJZZON5MXJYLKTTOC6CK6UJMLL}

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	2026-05-18T00:31:45.472630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52739737acba70b54e6e1784af512c5ac32badf9df2af99062f92596191480a6

Aliases

arxiv: 1602.08784 · arxiv_version: 1602.08784v1 · doi: 10.48550/arxiv.1602.08784 · pith_short_12: KJZZON5MXJYL · pith_short_16: KJZZON5MXJYLKTTO · pith_short_8: KJZZON5M

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/KJZZON5MXJYLKTTOC6CK6UJMLL \
  | 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: 52739737acba70b54e6e1784af512c5ac32badf9df2af99062f92596191480a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf68af7886a253e7a60d4f59a0be8738a1013452813fab9fe8a01f389e1cc074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-28T23:23:13Z",
    "title_canon_sha256": "2d13453b9822215cc22d9963059b0c1354a1b8c2fbe2a838f7ba825dab90f6b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08784",
    "kind": "arxiv",
    "version": 1
  }
}