Pith Number

pith:YFRHUR4Q

pith:2026:YFRHUR4Q74DQTFNXUIUQIKKPXC

not attested not anchored not stored refs pending

A finite-board reduction for the Erd\H{o}s Matching Conjecture and the 4-uniform case via exact certificates

Caiyun Hu, Jianfeng Hou, Xizhi Liu

arxiv:2605.26060 v1 · 2026-05-25 · 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{YFRHUR4Q74DQTFNXUIUQIKKPXC}

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	2026-05-26T02:05:25.292908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1627a4790ff070995b7a22904294fb88389d049b5709d5a842c4e61130b9edc

Aliases

arxiv: 2605.26060 · arxiv_version: 2605.26060v1 · doi: 10.48550/arxiv.2605.26060 · pith_short_12: YFRHUR4Q74DQ · pith_short_16: YFRHUR4Q74DQTFNX · pith_short_8: YFRHUR4Q

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/YFRHUR4Q74DQTFNXUIUQIKKPXC \
  | 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: c1627a4790ff070995b7a22904294fb88389d049b5709d5a842c4e61130b9edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127253c0c5363a5f90a977b9918dfba7c79780f2c8ccb9604d18d4d7e19cc069",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T17:19:09Z",
    "title_canon_sha256": "db0ceea3a7755ca630ea6b6fc95350efd0e04da7cc7a4dbe883d5f51174268f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26060",
    "kind": "arxiv",
    "version": 1
  }
}