Pith Number

pith:BWDXGD5V

pith:2018:BWDXGD5VRWKQV7JUFWHSDDHGD2

not attested not anchored not stored refs pending

The size of the giant component in random hypergraphs: a short proof

Christoph Koch, Mihyun Kang, Oliver Cooley

arxiv:1803.02809 v1 · 2018-03-07 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWDXGD5VRWKQV7JUFWHSDDHGD2}

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	2026-05-18T00:21:49.177063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d87730fb58d950afd342d8f218ce61e9d9780eadcf856c51c68c70bb31f656e

Aliases

arxiv: 1803.02809 · arxiv_version: 1803.02809v1 · doi: 10.48550/arxiv.1803.02809 · pith_short_12: BWDXGD5VRWKQ · pith_short_16: BWDXGD5VRWKQV7JU · pith_short_8: BWDXGD5V

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/BWDXGD5VRWKQV7JUFWHSDDHGD2 \
  | 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: 0d87730fb58d950afd342d8f218ce61e9d9780eadcf856c51c68c70bb31f656e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81fb00399adf8896f99c2e537857d738e225ef25b43e1b0661cf75c444a3256d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T18:36:42Z",
    "title_canon_sha256": "b7ba80cbf27c180c67caa664f6ddb2c698c2898348b531706c3578ea1c032053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02809",
    "kind": "arxiv",
    "version": 1
  }
}