Pith Number

pith:NUTXMFQ3

pith:2026:NUTXMFQ3FGYQDRABYCUVOWUIEZ

not attested not anchored not stored refs pending

A lower bound for the Rouquier dimension of derived categories over commutative rings

Yuki Mifune

arxiv:2606.31246 v1 · 2026-06-30 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUTXMFQ3FGYQDRABYCUVOWUIEZ}

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	2026-07-01T01:17:56.934722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2776161b29b101c401c0a9575a882659f5c90ed34a95c36bf4f281df62fd4f

Aliases

arxiv: 2606.31246 · arxiv_version: 2606.31246v1 · doi: 10.48550/arxiv.2606.31246 · pith_short_12: NUTXMFQ3FGYQ · pith_short_16: NUTXMFQ3FGYQDRAB · pith_short_8: NUTXMFQ3

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/NUTXMFQ3FGYQDRABYCUVOWUIEZ \
  | 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: 6d2776161b29b101c401c0a9575a882659f5c90ed34a95c36bf4f281df62fd4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f21eae6713d879be6e4e112eecf5eda8372a7f2b8eb3bbd1d1b671fb20f5e81",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-30T07:22:56Z",
    "title_canon_sha256": "ff32c98ec4cf498b3c928ca353bcdba04389f0b5094f6284c881f9d36ab4e9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31246",
    "kind": "arxiv",
    "version": 1
  }
}