Pith Number

pith:VC3QN2CP

pith:2016:VC3QN2CPERWQDZKSO72UGM223R

not attested not anchored not stored refs pending

Canonical factorization of the quotient morphism for an affine $\mathbb{G}_a$-variety

Gene Freudenburg

arxiv:1602.08786 v3 · 2016-02-28 · 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{VC3QN2CPERWQDZKSO72UGM223R}

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.

Cited by

1 paper in Pith

Rees algebras of additive group actions

Receipt and verification

First computed	2026-05-18T00:55:25.261416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b706e84f246d01e55277f543335adc516b4c3c1780457b55e4be18903fc9a9

Aliases

arxiv: 1602.08786 · arxiv_version: 1602.08786v3 · doi: 10.48550/arxiv.1602.08786 · pith_short_12: VC3QN2CPERWQ · pith_short_16: VC3QN2CPERWQDZKS · pith_short_8: VC3QN2CP

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/VC3QN2CPERWQDZKSO72UGM223R \
  | 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: a8b706e84f246d01e55277f543335adc516b4c3c1780457b55e4be18903fc9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c38cc57af9a7021dd58e7d7fe2e331faab4381feb8af27a7c1b6cc250c86373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-28T23:59:13Z",
    "title_canon_sha256": "d04ea2297c09e27e218bc2c995793f17a4f1eeca01a5487a460239536aa2e054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08786",
    "kind": "arxiv",
    "version": 3
  }
}