Pith Number

pith:P6JRX32X

pith:2017:P6JRX32X5L2K4ABGV6PP4CDUTJ

not attested not anchored not stored refs pending

Large monochromatic components and long monochromatic cycles in random hypergraphs

Andrzej Dudek, Louis DeBiasio, Patrick Bennett, Sean English

arxiv:1709.02990 v2 · 2017-09-09 · 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{P6JRX32X5L2K4ABGV6PP4CDUTJ}

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	2026-05-18T00:09:47.732381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f931bef57eaf4ae0026af9efe08749a69df4c369e3b327b975e085103ca8442

Aliases

arxiv: 1709.02990 · arxiv_version: 1709.02990v2 · doi: 10.48550/arxiv.1709.02990 · pith_short_12: P6JRX32X5L2K · pith_short_16: P6JRX32X5L2K4ABG · pith_short_8: P6JRX32X

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/P6JRX32X5L2K4ABGV6PP4CDUTJ \
  | 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: 7f931bef57eaf4ae0026af9efe08749a69df4c369e3b327b975e085103ca8442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bd5123cf7302dcb75c5afcace0ce270b121bbc6899a46d546cb4edca694507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-09T18:25:24Z",
    "title_canon_sha256": "6034a9353e412ba1aee1b2533b418f906c304b2e16e11fec53c7df345bc7059f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02990",
    "kind": "arxiv",
    "version": 2
  }
}