Pith Number

pith:KRJ36K5H

pith:2018:KRJ36K5HZSS7CV464C2RP7XOSQ

not attested not anchored not stored refs pending

A sharp threshold of propagation connectivity for mixed random hypergraphs

Bin Wang, Guangyan Zhou, Ke Xu

arxiv:1809.05631 v1 · 2018-09-15 · 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{KRJ36K5HZSS7CV464C2RP7XOSQ}

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	2026-05-18T00:05:40.412991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5453bf2ba7cca5f1579ee0b517feee9405010d0dcae2d4cc553cd0be44ce94cd

Aliases

arxiv: 1809.05631 · arxiv_version: 1809.05631v1 · doi: 10.48550/arxiv.1809.05631 · pith_short_12: KRJ36K5HZSS7 · pith_short_16: KRJ36K5HZSS7CV46 · pith_short_8: KRJ36K5H

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/KRJ36K5HZSS7CV464C2RP7XOSQ \
  | 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: 5453bf2ba7cca5f1579ee0b517feee9405010d0dcae2d4cc553cd0be44ce94cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8ef44d4337a003ce0df334fe61bb6b8b6d3b0d0ebdc2d6a38d648d311d1d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-15T01:41:18Z",
    "title_canon_sha256": "c610cb038793c181443987184737bc9f84b61f92b74cf69d335f7fb5b1fbf7e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05631",
    "kind": "arxiv",
    "version": 1
  }
}