Pith Number

pith:FBKQZJPF

pith:2025:FBKQZJPFN2ERD56XMSRR2DBJMX

not attested not anchored not stored refs pending

The saturation number of W 4

Jinze Hu, Ning Song, Qing Cui, Shengjin Ji

arxiv:2503.11473 v1 · 2025-03-14 · 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{FBKQZJPFN2ERD56XMSRR2DBJMX}

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	2026-07-05T10:31:32.432995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28550ca5e56e8911f7d764a31d0c2965dd85d5d80c9a5d6ed5cfdb2d700a03d8

Aliases

arxiv: 2503.11473 · arxiv_version: 2503.11473v1 · doi: 10.48550/arxiv.2503.11473 · pith_short_12: FBKQZJPFN2ER · pith_short_16: FBKQZJPFN2ERD56X · pith_short_8: FBKQZJPF

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/FBKQZJPFN2ERD56XMSRR2DBJMX \
  | 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: 28550ca5e56e8911f7d764a31d0c2965dd85d5d80c9a5d6ed5cfdb2d700a03d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820a79796550f4e7a4716b6bbc03e6a60231cbf3a699c168799e99e555344474",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-14T15:02:42Z",
    "title_canon_sha256": "cf8caa9cbe5a880a5cc53094be59019d4d550f2fbf6c13a095eefba26408bcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.11473",
    "kind": "arxiv",
    "version": 1
  }
}