Pith Number

pith:UK436K6W

pith:2026:UK436K6WW7UZOSPGRQJP5VZCXA

not attested not anchored not stored refs pending

Quasi-$F$-splitting versus log canonicity

Kenta Sato, Shou Yoshikawa, Shunsuke Takagi

arxiv:2607.02218 v1 · 2026-07-02 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK436K6WW7UZOSPGRQJP5VZCXA}

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	2026-07-03T01:17:45.399802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b9bf2bd6b7e99749e68c12fed722b80137a4955168a4cea35298a4e4830ce3

Aliases

arxiv: 2607.02218 · arxiv_version: 2607.02218v1 · doi: 10.48550/arxiv.2607.02218 · pith_short_12: UK436K6WW7UZ · pith_short_16: UK436K6WW7UZOSPG · pith_short_8: UK436K6W

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/UK436K6WW7UZOSPGRQJP5VZCXA \
  | 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: a2b9bf2bd6b7e99749e68c12fed722b80137a4955168a4cea35298a4e4830ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c198a6059d4624760cf6fb6020a3517b80bdfa4ab40d9d79d461ec3e57f1557c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-02T14:24:06Z",
    "title_canon_sha256": "2a8e8332db4876d39e49f71710bbb110b5f5c83b68cbc353a09e350a81875fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02218",
    "kind": "arxiv",
    "version": 1
  }
}