Pith Number

pith:L22TD6K2

pith:2024:L22TD6K2UITU2Q4342UWPLCCA6

not attested not anchored not stored refs pending

Clique density vs blowups

Domagoj Brada\v{c}, Hong Liu, Zhuo Wu, Zixiang Xu

arxiv:2410.07098 v1 · 2024-10-09 · 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{L22TD6K2UITU2Q4342UWPLCCA6}

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

Interpolating chromatic and homomorphism thresholds

Receipt and verification

First computed	2026-07-05T09:18:10.745349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb531f95aa2274d439be6a967ac42078e98fd67eded4412a1d41c507147f0e2

Aliases

arxiv: 2410.07098 · arxiv_version: 2410.07098v1 · doi: 10.48550/arxiv.2410.07098 · pith_short_12: L22TD6K2UITU · pith_short_16: L22TD6K2UITU2Q43 · pith_short_8: L22TD6K2

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/L22TD6K2UITU2Q4342UWPLCCA6 \
  | 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: 5eb531f95aa2274d439be6a967ac42078e98fd67eded4412a1d41c507147f0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd91d2fb57e0b23930e6207eec07189bc79f26916e3a892bd527a2d5a8825d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-09T17:40:33Z",
    "title_canon_sha256": "4c8339332701480f764a0d7ecece81aaec978d8ca03db54cdf19d23014662745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07098",
    "kind": "arxiv",
    "version": 1
  }
}