Pith Number

pith:WQN3QU7Q

pith:2023:WQN3QU7QABJSYH5EXZM5ZG72LZ

not attested not anchored not stored refs pending

A robust version of the multipartite Hajnal--Szemer\'edi theorem

Donglei Yang, Jie Han, Jie Hu

arxiv:2311.00950 v1 · 2023-11-02 · 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{WQN3QU7QABJSYH5EXZM5ZG72LZ}

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

Transversal Structures in Graph Systems: A Survey

Receipt and verification

First computed	2026-07-05T07:08:18.147349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41bb853f000532c1fa4be59dc9bfa5e7591b0addc249d630fefb400b6bd21f0

Aliases

arxiv: 2311.00950 · arxiv_version: 2311.00950v1 · doi: 10.48550/arxiv.2311.00950 · pith_short_12: WQN3QU7QABJS · pith_short_16: WQN3QU7QABJSYH5E · pith_short_8: WQN3QU7Q

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/WQN3QU7QABJSYH5EXZM5ZG72LZ \
  | 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: b41bb853f000532c1fa4be59dc9bfa5e7591b0addc249d630fefb400b6bd21f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180488820858c420b7a6c2cc72a23518bfbfec7ed35d636ec8323c6ec15395fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-02T02:33:35Z",
    "title_canon_sha256": "16877763d7e9ecdc319c66b48d60419d9019eaac607f663c4a6a290dad501934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.00950",
    "kind": "arxiv",
    "version": 1
  }
}