Pith Number

pith:ZP4Q6SBT

pith:2016:ZP4Q6SBTZ2V4JEXIF6K5MUHATJ

not attested not anchored not stored refs pending

Algebraic and algorithmic aspects of radical parametrizations

Carlos Villarino, David Sevilla, J. Rafael Sendra

arxiv:1609.09760 v2 · 2016-09-30 · math.AG · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP4Q6SBTZ2V4JEXIF6K5MUHATJ}

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	2026-05-18T00:51:37.163014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf90f4833ceabc492e82f95d650e09a4eefda00281df65cf382aa90e8e06765

Aliases

arxiv: 1609.09760 · arxiv_version: 1609.09760v2 · doi: 10.48550/arxiv.1609.09760 · pith_short_12: ZP4Q6SBTZ2V4 · pith_short_16: ZP4Q6SBTZ2V4JEXI · pith_short_8: ZP4Q6SBT

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/ZP4Q6SBTZ2V4JEXIF6K5MUHATJ \
  | 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: cbf90f4833ceabc492e82f95d650e09a4eefda00281df65cf382aa90e8e06765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dbe451cc2fd45bd0f6ad70adc8aa6fc9548d1e949b1556b5ae6ec520151693",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-30T14:48:24Z",
    "title_canon_sha256": "a3ab7c09bd8c4375aa133384d512a8e3312f3c70501076f98b6e8c4c1f7391f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09760",
    "kind": "arxiv",
    "version": 2
  }
}