Pith Number

pith:UFP6OV7D

pith:2015:UFP6OV7DH5SVEQSV7L3MGAPKLO

not attested not anchored not stored refs pending

A recollement approach to Geigle-Lenzing weighted projective varieties

Boris Lerner, Steffen Oppermann

arxiv:1505.01931 v1 · 2015-05-08 · math.RT · 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{UFP6OV7DH5SVEQSV7L3MGAPKLO}

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	2026-05-18T02:16:38.465217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15fe757e33f65524255faf6c301ea5b8aeb67394f49fb963b64943e797343ac

Aliases

arxiv: 1505.01931 · arxiv_version: 1505.01931v1 · doi: 10.48550/arxiv.1505.01931 · pith_short_12: UFP6OV7DH5SV · pith_short_16: UFP6OV7DH5SVEQSV · pith_short_8: UFP6OV7D

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/UFP6OV7DH5SVEQSV7L3MGAPKLO \
  | 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: a15fe757e33f65524255faf6c301ea5b8aeb67394f49fb963b64943e797343ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d12b980aa362b94e5f08a2872401309c15e2925b28a8c0d72e6286e86095df",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-05-08T05:18:28Z",
    "title_canon_sha256": "fb0c21febf4f725301c6f0e4decb871e9d9c7bf9c9c3c2a75e8b632a18e7466c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01931",
    "kind": "arxiv",
    "version": 1
  }
}