Pith Number

pith:O4PTHAPC

pith:2026:O4PTHAPCG5NGQVESMBEFGNUAMY

not attested not anchored not stored refs pending

On degree bounds of $k$-uniform hypergraphs with bounded matching number

Haixiang Zhang, Mei Lu, Mengyu Cao

arxiv:2605.21208 v1 · 2026-05-20 · 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{O4PTHAPCG5NGQVESMBEFGNUAMY}

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.

Receipt and verification

First computed	2026-05-21T01:05:43.532937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771f3381e2375a6854926048533680662d57b6a52433de504885445684d060b3

Aliases

arxiv: 2605.21208 · arxiv_version: 2605.21208v1 · doi: 10.48550/arxiv.2605.21208 · pith_short_12: O4PTHAPCG5NG · pith_short_16: O4PTHAPCG5NGQVES · pith_short_8: O4PTHAPC

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/O4PTHAPCG5NGQVESMBEFGNUAMY \
  | 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: 771f3381e2375a6854926048533680662d57b6a52433de504885445684d060b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9844b933732e2bde1057a020422294611e5484c1e66c983447662c471758deb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T14:04:54Z",
    "title_canon_sha256": "2b8a722fb945dcab753d16e3a2f25b9136c824615e7225ac13a13b0c7957923a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21208",
    "kind": "arxiv",
    "version": 1
  }
}