Pith Number

pith:ZANDASPW

pith:2024:ZANDASPW3SAORL7MFE3MVD4RL5

not attested not anchored not stored refs pending

Tur\'an numbers of cycles plus a general graph

Chunyang Dou, Fu-Tao Hu, Xing Peng

arxiv:2411.17322 v2 · 2024-11-26 · 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{ZANDASPW3SAORL7MFE3MVD4RL5}

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 extremal problems for degenerate graphs

Receipt and verification

First computed	2026-07-05T09:47:57.707284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81a3049f6dc80e8afec2936ca8f915f68deebabc1ee93f8ac6d00976051a080

Aliases

arxiv: 2411.17322 · arxiv_version: 2411.17322v2 · doi: 10.48550/arxiv.2411.17322 · pith_short_12: ZANDASPW3SAO · pith_short_16: ZANDASPW3SAORL7M · pith_short_8: ZANDASPW

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/ZANDASPW3SAORL7MFE3MVD4RL5 \
  | 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: c81a3049f6dc80e8afec2936ca8f915f68deebabc1ee93f8ac6d00976051a080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa7cc5726d59068953faddebfede227caf49e74ad5305e6293ad5882329403c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-26T11:10:27Z",
    "title_canon_sha256": "cc26a8744fad5f4fe6f0056289ade350ff805e6fb74f5d07bdc4d92df9055406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17322",
    "kind": "arxiv",
    "version": 2
  }
}