Pith Number

pith:WZA53UBO

pith:2024:WZA53UBONX6N2OQM63A6IAYJPM

not attested not anchored not stored refs pending

Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems

Wanfang Chen, Xizhi Liu

arxiv:2406.05748 v1 · 2024-06-09 · 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{WZA53UBONX6N2OQM63A6IAYJPM}

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

On cliques in hypergraphs under bounded $(j,p)$-norm

Receipt and verification

First computed	2026-07-05T08:29:33.192672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b641ddd02e6dfcdd3a0cf6c1e403097b3c9e667dbf682e7fbc34722a8d862862

Aliases

arxiv: 2406.05748 · arxiv_version: 2406.05748v1 · doi: 10.48550/arxiv.2406.05748 · pith_short_12: WZA53UBONX6N · pith_short_16: WZA53UBONX6N2OQM · pith_short_8: WZA53UBO

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/WZA53UBONX6N2OQM63A6IAYJPM \
  | 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: b641ddd02e6dfcdd3a0cf6c1e403097b3c9e667dbf682e7fbc34722a8d862862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f497ed542d4850db9decc1c8b5cc85bfc24ca63a40ced3c8d1bada89f16b7265",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-09T11:48:14Z",
    "title_canon_sha256": "920855af0dffa08a1dae7bdb834459ef1343acb28399b68f9442d8c1e6e72722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05748",
    "kind": "arxiv",
    "version": 1
  }
}