Pith Number

pith:3XQMKSCD

pith:2022:3XQMKSCDQK3LMKMQTFONOOYSQ3

not attested not anchored not stored refs pending

Arithmetically Cohen--Macaulay bundles on homogeneous varieties of Picard rank one

Yusuke Nakayama

arxiv:2211.00950 v2 · 2022-11-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XQMKSCDQK3LMKMQTFONOOYSQ3}

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	2026-07-05T05:12:55.289726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde0c5484382b6b62990995cd73b1286d8c5ab25f60215d50c81b627c299f783

Aliases

arxiv: 2211.00950 · arxiv_version: 2211.00950v2 · doi: 10.48550/arxiv.2211.00950 · pith_short_12: 3XQMKSCDQK3L · pith_short_16: 3XQMKSCDQK3LMKMQ · pith_short_8: 3XQMKSCD

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/3XQMKSCDQK3LMKMQTFONOOYSQ3 \
  | 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: dde0c5484382b6b62990995cd73b1286d8c5ab25f60215d50c81b627c299f783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf118816d56aa1360cf941d6696ffb56f7d4a5d250f626d88f6b49be5454ce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-02T08:17:47Z",
    "title_canon_sha256": "91c5c18524e03f2715f673baf35f7d7f67146ca5092af20fda9ac88e29a6d7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00950",
    "kind": "arxiv",
    "version": 2
  }
}