Pith Number

pith:AUT66WRS

pith:2024:AUT66WRSLSK7OUNFRW34XSSGDO

not attested not anchored not stored refs pending

Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles

Caiyun Hu, Jianfeng Hou, Xizhi Liu, Zian Chen

arxiv:2409.11950 v1 · 2024-09-18 · 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{AUT66WRSLSK7OUNFRW34XSSGDO}

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

Spectral generalized Tur\'{a}n problems

Receipt and verification

First computed	2026-07-05T09:08:40.102321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0527ef5a325c95f751a58db7cbca461bba57195577c07efeca69a04c1d6d3eb3

Aliases

arxiv: 2409.11950 · arxiv_version: 2409.11950v1 · doi: 10.48550/arxiv.2409.11950 · pith_short_12: AUT66WRSLSK7 · pith_short_16: AUT66WRSLSK7OUNF · pith_short_8: AUT66WRS

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/AUT66WRSLSK7OUNFRW34XSSGDO \
  | 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: 0527ef5a325c95f751a58db7cbca461bba57195577c07efeca69a04c1d6d3eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071ccda705b5298a232d3fe98ae070e58fcce8e009eb6d90ed5a63697fd503f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-18T13:05:30Z",
    "title_canon_sha256": "ff2cf01a6970c5e0da9a59e0486c1ddede5ceee0359cd2fbeb41de6fc978c0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11950",
    "kind": "arxiv",
    "version": 1
  }
}