Pith Number

pith:C66HELRZ

pith:2024:C66HELRZSPDLXFZDJTSVA56X7O

not attested not anchored not stored refs pending

Generalized Tur\'an problem for a path and a clique

Xiaona Fang, Xiutao Zhu, Yaojun Chen

arxiv:2409.10129 v1 · 2024-09-16 · 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{C66HELRZSPDLXFZDJTSVA56X7O}

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

Tur\'an numbers of cycles plus a general graph

Receipt and verification

First computed	2026-07-05T09:07:35.469078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bc722e3993c6bb97234ce55077d7fba63159f2ae4e93035fa90d1f6fdba994

Aliases

arxiv: 2409.10129 · arxiv_version: 2409.10129v1 · doi: 10.48550/arxiv.2409.10129 · pith_short_12: C66HELRZSPDL · pith_short_16: C66HELRZSPDLXFZD · pith_short_8: C66HELRZ

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/C66HELRZSPDLXFZDJTSVA56X7O \
  | 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: 17bc722e3993c6bb97234ce55077d7fba63159f2ae4e93035fa90d1f6fdba994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c37128545977fe4900a73c5385acadcb64c2bd979525d4058002bc8508be1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-16T09:43:08Z",
    "title_canon_sha256": "fd527480d0f9e3e3a9e35b391368375ea9a3e630e4eff33b40f9291592b84d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.10129",
    "kind": "arxiv",
    "version": 1
  }
}