Pith Number

pith:64K3A73X

pith:2025:64K3A73XPWKJ2TQH5XXRNWSPPC

not attested not anchored not stored refs pending

Tur\'an problems for suspension of a balanced tree

Fangfang Zhang, Xiaolin Wang, Xiutao Zhu, Yanbo Zhang

arxiv:2503.05166 v1 · 2025-03-07 · 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{64K3A73XPWKJ2TQH5XXRNWSPPC}

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

The generalized Tur\'an number for K_3 in graphs without suspensions of a path on five vertices

Receipt and verification

First computed	2026-07-05T10:26:22.379386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f715b07f777d949d4e07edef16da4f7897cb8f8dde534dd2ac8d6462695a914e

Aliases

arxiv: 2503.05166 · arxiv_version: 2503.05166v1 · doi: 10.48550/arxiv.2503.05166 · pith_short_12: 64K3A73XPWKJ · pith_short_16: 64K3A73XPWKJ2TQH · pith_short_8: 64K3A73X

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/64K3A73XPWKJ2TQH5XXRNWSPPC \
  | 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: f715b07f777d949d4e07edef16da4f7897cb8f8dde534dd2ac8d6462695a914e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4026c2d1664e59d0762a9537b3335848d77c276e2e4854779aded49cf0f128a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-07T06:11:04Z",
    "title_canon_sha256": "c9ece8ebbb73749aa8c7d42a1c5385e9abc0a42149da1a575559d658b4996f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.05166",
    "kind": "arxiv",
    "version": 1
  }
}