Pith Number

pith:K7ZGT332

pith:2026:K7ZGT332GUG64IEF4B2FNYM3VY

not attested not anchored not stored refs pending

A Tur\'an Theorem for Cayley Graphs

Kai Yang, Wei Li

arxiv:2606.29284 v1 · 2026-06-28 · 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{K7ZGT332GUG64IEF4B2FNYM3VY}

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	2026-06-30T01:18:00.267463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f269ef7a350dee2085e07456e19bae2b0ef85dfaddb1bb1a7a825a2e0c4b54

Aliases

arxiv: 2606.29284 · arxiv_version: 2606.29284v1 · doi: 10.48550/arxiv.2606.29284 · pith_short_12: K7ZGT332GUG6 · pith_short_16: K7ZGT332GUG64IEF · pith_short_8: K7ZGT332

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/K7ZGT332GUG64IEF4B2FNYM3VY \
  | 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: 57f269ef7a350dee2085e07456e19bae2b0ef85dfaddb1bb1a7a825a2e0c4b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9135cf8c29825692d016f623a2bd4781e6fee00b3de4a6885be3f82ee171bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-28T09:08:40Z",
    "title_canon_sha256": "1c0b6331d88f2d9b542f13c9c918d46b48221bbcf96d6eb108d60ff3102920b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29284",
    "kind": "arxiv",
    "version": 1
  }
}