Pith Number

pith:SMM6QKTU

pith:2024:SMM6QKTUIQ2ZIIK4R6MMAFN6OE

not attested not anchored not stored refs pending

Generalized Tur\'an problems for a matching and long cycles

Mei Lu, Xiamiao Zhao

arxiv:2412.18853 v1 · 2024-12-25 · 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{SMM6QKTUIQ2ZIIK4R6MMAFN6OE}

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	2026-07-05T09:54:11.932323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9319e82a74443594215c8f98c015be7138a9dd952530da8c5868138059ecc2e4

Aliases

arxiv: 2412.18853 · arxiv_version: 2412.18853v1 · doi: 10.48550/arxiv.2412.18853 · pith_short_12: SMM6QKTUIQ2Z · pith_short_16: SMM6QKTUIQ2ZIIK4 · pith_short_8: SMM6QKTU

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/SMM6QKTUIQ2ZIIK4R6MMAFN6OE \
  | 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: 9319e82a74443594215c8f98c015be7138a9dd952530da8c5868138059ecc2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b284b2f18e84f37e6f65e99031915c31200aee5d1d251bc9e9409f01658586",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-25T09:51:54Z",
    "title_canon_sha256": "867574f8b3eda2512fb216411f5f7cf5dc5c6f41d2e968a8ee50d5f5f1b670db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18853",
    "kind": "arxiv",
    "version": 1
  }
}