Pith Number

pith:GIGCQLZV

pith:2025:GIGCQLZVK5E6M7CDHR2YWEYBTP

not attested not anchored not stored refs pending

Maximal Representation Dimensions of Algebraic Tori of Fixed Dimension Over Arbitrary Fields

Bailey Heath

arxiv:2502.15513 v1 · 2025-02-21 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIGCQLZVK5E6M7CDHR2YWEYBTP}

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

Representations of finite subgroups of Cremona groups

Receipt and verification

First computed	2026-07-05T10:18:02.902979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320c282f355749e67c433c758b13019befca0ccd28bba8e29357a478822bd1d3

Aliases

arxiv: 2502.15513 · arxiv_version: 2502.15513v1 · doi: 10.48550/arxiv.2502.15513 · pith_short_12: GIGCQLZVK5E6 · pith_short_16: GIGCQLZVK5E6M7CD · pith_short_8: GIGCQLZV

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/GIGCQLZVK5E6M7CDHR2YWEYBTP \
  | 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: 320c282f355749e67c433c758b13019befca0ccd28bba8e29357a478822bd1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cb9fd01b0b93e3da924cf7603117f6a6a7eb96dc263982e07bdb5b4f00b110",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-21T15:10:10Z",
    "title_canon_sha256": "88981ce0188a8b77f4de8c351f056c52647b11f03d6434d800ec3f20187f780e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15513",
    "kind": "arxiv",
    "version": 1
  }
}