Pith Number

pith:QIL2FPLL

pith:2015:QIL2FPLLMD35D7THSN4SQJVGGT

not attested not anchored not stored refs pending

Noncommutative ampleness from finite endomorphisms

D. S. Keeler, K. Retert

arxiv:1502.01668 v1 · 2015-02-05 · math.RA · 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{QIL2FPLLMD35D7THSN4SQJVGGT}

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	2026-05-18T02:26:46.620873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8217a2bd6b60f7d1fe6793792826a634de02c6077aa8b3bc50a9bf8d7cc5b584

Aliases

arxiv: 1502.01668 · arxiv_version: 1502.01668v1 · doi: 10.48550/arxiv.1502.01668 · pith_short_12: QIL2FPLLMD35 · pith_short_16: QIL2FPLLMD35D7TH · pith_short_8: QIL2FPLL

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/QIL2FPLLMD35D7THSN4SQJVGGT \
  | 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: 8217a2bd6b60f7d1fe6793792826a634de02c6077aa8b3bc50a9bf8d7cc5b584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da6168db781b99ef7a269218c951641da442256c03168428f0d100dfe7e6a8b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-02-05T18:21:47Z",
    "title_canon_sha256": "ccc3a6dd077858db4a9ec00e0789b7618e405be7b7842ec1e75a176fabf34e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01668",
    "kind": "arxiv",
    "version": 1
  }
}