Pith Number

pith:YBSSCACK

pith:2007:YBSSCACKFBBQJLZM76OYBDSBZL

not attested not anchored not stored refs pending

The Order of the Giant Component of Random Hypergraphs

Amin Coja-Oghlan, Michael Behrisch, Mihyun Kang

arxiv:0706.0496 v1 · 2007-06-04 · 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{YBSSCACKFBBQJLZM76OYBDSBZL}

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	2026-05-18T00:30:29.126896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06521004a284304af2cff9d808e41caee0def5736292b24d393470eb7d5d664

Aliases

arxiv: 0706.0496 · arxiv_version: 0706.0496v1 · doi: 10.48550/arxiv.0706.0496 · pith_short_12: YBSSCACKFBBQ · pith_short_16: YBSSCACKFBBQJLZM · pith_short_8: YBSSCACK

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/YBSSCACKFBBQJLZM76OYBDSBZL \
  | 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: c06521004a284304af2cff9d808e41caee0def5736292b24d393470eb7d5d664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c234ae9e1919095391acca62005c026a6f8896e2e8be024906911763e0f0f7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-06-04T18:40:46Z",
    "title_canon_sha256": "a324e29d14e3c566a23d27f5d06d14c86771952e1fedfceab0f6a23514d534c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0496",
    "kind": "arxiv",
    "version": 1
  }
}