Pith Number

pith:OPVTRGZ5

pith:2018:OPVTRGZ5QE3P4FWRWZFL77JMAZ

not attested not anchored not stored refs pending

Horizontal Ga-actions on affine T-varieties of complexity one

Kevin Langlois

arxiv:1805.08001 v2 · 2018-05-21 · 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{OPVTRGZ5QE3P4FWRWZFL77JMAZ}

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	2026-05-17T23:49:22.477226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73eb389b3d8136fe16d1b64abffd2c065d7634324aed4ba26aa897a0b1938a31

Aliases

arxiv: 1805.08001 · arxiv_version: 1805.08001v2 · doi: 10.48550/arxiv.1805.08001 · pith_short_12: OPVTRGZ5QE3P · pith_short_16: OPVTRGZ5QE3P4FWR · pith_short_8: OPVTRGZ5

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/OPVTRGZ5QE3P4FWRWZFL77JMAZ \
  | 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: 73eb389b3d8136fe16d1b64abffd2c065d7634324aed4ba26aa897a0b1938a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda5d71ae6d69802465396f4a29451fd9bfd93a8db1af0182a53a106a8d166f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-21T11:52:37Z",
    "title_canon_sha256": "1afcb1e07a16224ab9669d9fa3773323f42c96fb88ae12a5fdbe840de4ccfff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08001",
    "kind": "arxiv",
    "version": 2
  }
}