Pith Number

pith:LZXXXR6G

pith:1997:LZXXXR6GT3DIT3XTUDSS2A4K4Q

not attested not anchored not stored refs pending

A remark on the regularity of prehomogeneous vector spaces

Akihiko Yukie

arxiv:math/9708209 v1 · 1997-08-28 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZXXXR6GT3DIT3XTUDSS2A4K4Q}

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	2026-05-18T01:05:34.931031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6f7bc7c69ec689eef3a0e52d038ae416328e0af2c4a37deb22d729521fc4aa

Aliases

arxiv: math/9708209 · arxiv_version: math/9708209v1 · doi: 10.48550/arxiv.math/9708209 · pith_short_12: LZXXXR6GT3DI · pith_short_16: LZXXXR6GT3DIT3XT · pith_short_8: LZXXXR6G

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/LZXXXR6GT3DIT3XTUDSS2A4K4Q \
  | 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: 5e6f7bc7c69ec689eef3a0e52d038ae416328e0af2c4a37deb22d729521fc4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1153d512276b4490fae9c16b63a69fa37032041e21f3611f9cd2947a57e7abf5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1997-08-28T00:00:00Z",
    "title_canon_sha256": "a1abc74274e03dd1389e2307143c973ccd74b731da0e6703c02c737302b554f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9708209",
    "kind": "arxiv",
    "version": 1
  }
}