Pith Number

pith:T537SV4A

pith:2017:T537SV4ASKIDYSZCPCWS3BKLK6

not attested not anchored not stored refs pending

Bootstrap percolation in random $k$-uniform hypergraphs

Christoph Koch, Mihyun Kang, Tam\'as Makai

arxiv:1704.07144 v1 · 2017-04-24 · 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{T537SV4ASKIDYSZCPCWS3BKLK6}

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	2026-05-18T00:45:53.407020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f77f9578092903c4b2278ad2d854b57963b2b952502597592df5c63c11b39ee

Aliases

arxiv: 1704.07144 · arxiv_version: 1704.07144v1 · doi: 10.48550/arxiv.1704.07144 · pith_short_12: T537SV4ASKID · pith_short_16: T537SV4ASKIDYSZC · pith_short_8: T537SV4A

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/T537SV4ASKIDYSZCPCWS3BKLK6 \
  | 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: 9f77f9578092903c4b2278ad2d854b57963b2b952502597592df5c63c11b39ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41c4f3578bc18fda5741ab9238c1b570f020d8b7d944e83d1a98c92fe28b0b5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-24T11:03:43Z",
    "title_canon_sha256": "16bbd633655010588894b1df51ee8472284508dc682c7dbd92cda64229219633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07144",
    "kind": "arxiv",
    "version": 1
  }
}