Pith Number

pith:MZ7WW55D

pith:2021:MZ7WW55DGT2CYXC72SYIJZYXNS

not attested not anchored not stored refs pending

Crowns in linear $3$-graphs

Alvaro Carbonero, Andr\'as Gy\'arf\'as, Jing Guo, Rona Wang, Shiyu Yan, Willem Fletcher

arxiv:2107.14713 v1 · 2021-07-30 · 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{MZ7WW55DGT2CYXC72SYIJZYXNS}

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

2 papers in Pith

Bounds on Linear Tur\'{a}n Number for Trees

An Upper Bound on the Linear Tur\'{a}n Number of $k$-Crowns

Receipt and verification

First computed	2026-07-05T03:02:03.748080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667f6b77a334f42c5c5fd4b084e7176cad020bf8222d83b0906e6acb35c7e192

Aliases

arxiv: 2107.14713 · arxiv_version: 2107.14713v1 · doi: 10.48550/arxiv.2107.14713 · pith_short_12: MZ7WW55DGT2C · pith_short_16: MZ7WW55DGT2CYXC7 · pith_short_8: MZ7WW55D

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/MZ7WW55DGT2CYXC72SYIJZYXNS \
  | 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: 667f6b77a334f42c5c5fd4b084e7176cad020bf8222d83b0906e6acb35c7e192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2102903880da5868f3c2ddba97f7ad47e083c537c13847107abbf04085bec41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-30T15:35:39Z",
    "title_canon_sha256": "ab9f1c0231cbc7b1a4f5f8ab8670a147fb992eedb37a72e8249a74358e4c64df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14713",
    "kind": "arxiv",
    "version": 1
  }
}