Pith Number

pith:B4ZLFN53

pith:2022:B4ZLFN535VDS5AXQB6A7FWGGGO

not attested not anchored not stored refs pending

Finite $F$-representation type for homogeneous coordinate rings of non-Fano varieties

Devlin Mallory

arxiv:2207.08966 v5 · 2022-07-18 · math.AC · 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{B4ZLFN535VDS5AXQB6A7FWGGGO}

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	2026-05-20T14:03:15.829606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f32b2b7bbed472e82f00f81f2d8c633a606d8f549d6f1216b4758da0839b2c5

Aliases

arxiv: 2207.08966 · arxiv_version: 2207.08966v5 · doi: 10.48550/arxiv.2207.08966 · pith_short_12: B4ZLFN535VDS · pith_short_16: B4ZLFN535VDS5AXQ · pith_short_8: B4ZLFN53

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/B4ZLFN535VDS5AXQB6A7FWGGGO \
  | 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: 0f32b2b7bbed472e82f00f81f2d8c633a606d8f549d6f1216b4758da0839b2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937de54ca444c117de8f528082316ab8eae22833bbef1994ff501471a683eb17",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-07-18T22:36:50Z",
    "title_canon_sha256": "d7c9b73760538c513f21f538f12a6bf8a6bc1db2b772692010fcc877a98bb022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08966",
    "kind": "arxiv",
    "version": 5
  }
}