Pith Number

pith:PXWFN7CY

pith:2026:PXWFN7CYCGUP56FGYALY5RGPPQ

not attested not anchored not stored refs pending

Towards the Erd\H{o}s matching conjecture for 4-uniform hypergraphs: stability and applications

Hongliang Lu, Jie Ma, Peter Frankl, Yuze Wu

arxiv:2602.19230 v2 · 2026-02-22 · 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{PXWFN7CYCGUP56FGYALY5RGPPQ}

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	2026-06-11T01:09:30.986943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dec56fc5811a8fef8a6c0178ec4cf7c15b43ffe4289aae34044acb3047f483a

Aliases

arxiv: 2602.19230 · arxiv_version: 2602.19230v2 · doi: 10.48550/arxiv.2602.19230 · pith_short_12: PXWFN7CYCGUP · pith_short_16: PXWFN7CYCGUP56FG · pith_short_8: PXWFN7CY

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/PXWFN7CYCGUP56FGYALY5RGPPQ \
  | 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: 7dec56fc5811a8fef8a6c0178ec4cf7c15b43ffe4289aae34044acb3047f483a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133b102225032447887e5b029e92cd50f38e7253cd13ca7eec908479d63f080f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-22T15:21:47Z",
    "title_canon_sha256": "1810b551868ef57d3bdffb2d307f9527fcea3509c776b8bc383dcac03caaa980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.19230",
    "kind": "arxiv",
    "version": 2
  }
}