Pith Number

pith:QSRA2XLZ

pith:2014:QSRA2XLZDC7XUKEMLA4GKYZKSF

not attested not anchored not stored refs pending

Generic algebras: rational parametrization and normal forms

Vladimir L. Popov

arxiv:1411.6570 v2 · 2014-11-24 · 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{QSRA2XLZDC7XUKEMLA4GKYZKSF}

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	2026-05-18T02:29:10.279551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a20d5d7918bf7a288c583865632a916676a352518dc7278d58f040a9da9cfd

Aliases

arxiv: 1411.6570 · arxiv_version: 1411.6570v2 · doi: 10.48550/arxiv.1411.6570 · pith_short_12: QSRA2XLZDC7X · pith_short_16: QSRA2XLZDC7XUKEM · pith_short_8: QSRA2XLZ

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/QSRA2XLZDC7XUKEMLA4GKYZKSF \
  | 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: 84a20d5d7918bf7a288c583865632a916676a352518dc7278d58f040a9da9cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c69794a63e176dccffa87718b36740bf852e298a4f2505b39e974c77a0e92f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-24T18:50:14Z",
    "title_canon_sha256": "cf687b9b068259d281c2c8c2d85ca21f42b2cfa8a5296ffc2abfb867924a459d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6570",
    "kind": "arxiv",
    "version": 2
  }
}