Pith Number

pith:NPLUOYF6

pith:2005:NPLUOYF6W3ZAJ4STU5GWNP47WE

not attested not anchored not stored refs pending

A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces

Jana Pilnikova, Josef Schicho, Michael Harrison, Willem A. de Graaf

arxiv:math/0501157 v2 · 2005-01-11 · 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{NPLUOYF6W3ZAJ4STU5GWNP47WE}

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	2026-07-04T14:39:31.129698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd74760beb6f204f253a74d66bf9fb10be8bda534fc762135dda045d4624432

Aliases

arxiv: math/0501157 · arxiv_version: math/0501157v2 · doi: 10.48550/arxiv.math/0501157 · pith_short_12: NPLUOYF6W3ZA · pith_short_16: NPLUOYF6W3ZAJ4ST · pith_short_8: NPLUOYF6

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/NPLUOYF6W3ZAJ4STU5GWNP47WE \
  | 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: 6bd74760beb6f204f253a74d66bf9fb10be8bda534fc762135dda045d4624432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a85dddac89b3db40ac76501095bab699769950db2036934bda36cc7c6845c96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-01-11T13:32:01Z",
    "title_canon_sha256": "17500538da3f7286e450a7a55ea846d91dbf7211cd014c3b1081537c41208857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501157",
    "kind": "arxiv",
    "version": 2
  }
}