Pith Number

pith:P3F4R4TS

pith:2024:P3F4R4TSE2AXBQGXWIH44QVQOI

not attested not anchored not stored refs pending

Lagrangians are attained as uniform Tur\'an densities

Bjarne Sch\"ulke, Dylan King, Marcelo Sales

arxiv:2412.07297 v1 · 2024-12-10 · 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{P3F4R4TSE2AXBQGXWIH44QVQOI}

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

Uniform Tur\'an densities of $k$-uniform hypergraphs

Receipt and verification

First computed	2026-07-05T09:47:07.724149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecbc8f272268170c0d7b20fce42b072348c678639e37d59f5ec407853363826

Aliases

arxiv: 2412.07297 · arxiv_version: 2412.07297v1 · doi: 10.48550/arxiv.2412.07297 · pith_short_12: P3F4R4TSE2AX · pith_short_16: P3F4R4TSE2AXBQGX · pith_short_8: P3F4R4TS

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/P3F4R4TSE2AXBQGXWIH44QVQOI \
  | 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: 7ecbc8f272268170c0d7b20fce42b072348c678639e37d59f5ec407853363826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358cef2f2a91f3cf62f57a34a2ac0fed1a59667a5789d7430132e47546c0bd26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-10T08:27:49Z",
    "title_canon_sha256": "3d09b9641d0da76635cf3c7b1066d065cdf75ba3a3f10d87c945ef07b7d3061c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07297",
    "kind": "arxiv",
    "version": 1
  }
}