Pith Number

pith:SG7WYFWM

pith:2014:SG7WYFWMU6YUGPWSYHUURYURAA

not attested not anchored not stored refs pending

Singularity of the varieties of representations of lattices in solvable Lie groups

Hisashi Kasuya

arxiv:1403.0075 v3 · 2014-03-01 · math.GR · math.AG · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG7WYFWMU6YUGPWSYHUURYURAA}

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	2026-05-18T01:59:58.756438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bf6c16cca7b1433ed2c1e948e291002b54990a7a06347aeb58e9cb327774f1

Aliases

arxiv: 1403.0075 · arxiv_version: 1403.0075v3 · doi: 10.48550/arxiv.1403.0075 · pith_short_12: SG7WYFWMU6YU · pith_short_16: SG7WYFWMU6YUGPWS · pith_short_8: SG7WYFWM

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/SG7WYFWMU6YUGPWSYHUURYURAA \
  | 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: 91bf6c16cca7b1433ed2c1e948e291002b54990a7a06347aeb58e9cb327774f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d13082c942df0db8461170a6ba7e776f8f0cb0d2f9a997bbaf06c6f427169e9",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-01T11:07:38Z",
    "title_canon_sha256": "65826b5950e6deffbd6b6ade6f9051beba3cb96c8e2abe39fda5190ccda56f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0075",
    "kind": "arxiv",
    "version": 3
  }
}