Pith Number

pith:67ZGSTLL

pith:2015:67ZGSTLLFODE76WBDNACCZM4U4

not attested not anchored not stored refs pending

The size of the giant component in random hypergraphs

Christoph Koch, Mihyun Kang, Oliver Cooley

arxiv:1501.07835 v1 · 2015-01-30 · 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{67ZGSTLLFODE76WBDNACCZM4U4}

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	2026-05-18T02:28:14.027995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f2694d6b2b864ffac11b4021659ca73b5bc9d85590f3e7d848d5fd81310375

Aliases

arxiv: 1501.07835 · arxiv_version: 1501.07835v1 · doi: 10.48550/arxiv.1501.07835 · pith_short_12: 67ZGSTLLFODE · pith_short_16: 67ZGSTLLFODE76WB · pith_short_8: 67ZGSTLL

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/67ZGSTLLFODE76WBDNACCZM4U4 \
  | 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: f7f2694d6b2b864ffac11b4021659ca73b5bc9d85590f3e7d848d5fd81310375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f382ae00533e9031bb48c3d6cb122217d3885115608a17f6248289769e0200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-30T16:48:38Z",
    "title_canon_sha256": "df3d7ae8151d9cf4b4a7aa0d7d45a8e63a838831e5f528a859c6bf9d4cf4d337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07835",
    "kind": "arxiv",
    "version": 1
  }
}