Pith Number

pith:5P5GRTRF

pith:2024:5P5GRTRF3234WUT2SO6FJRWIKW

not attested not anchored not stored refs pending

Rational exponents for cliques

Anastasia Halfpap, Robert A. Krueger, Sean English

arxiv:2409.08424 v1 · 2024-09-12 · 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{5P5GRTRF3234WUT2SO6FJRWIKW}

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.

Cited by

1 paper in Pith

Survey of generalized Tur\'an problems -- counting subgraphs

Receipt and verification

First computed	2026-07-05T09:06:30.924728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfa68ce25deb7cb527a93bc54c6c8559a204afd435fd0b37ecb42817c9d2e0f

Aliases

arxiv: 2409.08424 · arxiv_version: 2409.08424v1 · doi: 10.48550/arxiv.2409.08424 · pith_short_12: 5P5GRTRF3234 · pith_short_16: 5P5GRTRF3234WUT2 · pith_short_8: 5P5GRTRF

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/5P5GRTRF3234WUT2SO6FJRWIKW \
  | 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: ebfa68ce25deb7cb527a93bc54c6c8559a204afd435fd0b37ecb42817c9d2e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3b4e05ed808eb14f3baff3959f6a74ae5ee69f14ace299194da4968b0f5d24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-12T23:06:55Z",
    "title_canon_sha256": "1adea54f12629079e5f2b50e1853a8397c87c8987b60dae8457ebef1f9d758ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08424",
    "kind": "arxiv",
    "version": 1
  }
}