Pith Number

pith:4OGYZ554

pith:2015:4OGYZ554KLL27D64YDCZDVHB65

not attested not anchored not stored refs pending

Minimum codegree threshold for $C_6^3$-factors in $3$-uniform Hypergraphs

Jie Han, Wei Gao

arxiv:1508.05152 v1 · 2015-08-21 · 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{4OGYZ554KLL27D64YDCZDVHB65}

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	2026-05-18T01:34:56.590825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38d8cf7bc52d7af8fdcc0c591d4e1f77f1e28e4159d6b703f4003cdc2e47739

Aliases

arxiv: 1508.05152 · arxiv_version: 1508.05152v1 · doi: 10.48550/arxiv.1508.05152 · pith_short_12: 4OGYZ554KLL2 · pith_short_16: 4OGYZ554KLL27D64 · pith_short_8: 4OGYZ554

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/4OGYZ554KLL27D64YDCZDVHB65 \
  | 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: e38d8cf7bc52d7af8fdcc0c591d4e1f77f1e28e4159d6b703f4003cdc2e47739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f5f1cbb9425b3cdff528fa7d33795f634f322a1bd79d379ffaca6f4be7fa86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-21T00:12:52Z",
    "title_canon_sha256": "3e2ab975995531e3cd0dbfc0a5a4765f9d93127637d8dacf805578a0c48dfe2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05152",
    "kind": "arxiv",
    "version": 1
  }
}