Pith Number

pith:PKJNKPFY

pith:2007:PKJNKPFYRHT4IKQUWNLAQ7BDT3

not attested not anchored not stored refs pending

Multidimensional Gauss Reduction Theory for conjugacy classes of SL(n,Z)

Oleg Karpenkov

arxiv:0711.0830 v3 · 2007-11-06 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKJNKPFYRHT4IKQUWNLAQ7BDT3}

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	2026-05-18T03:55:35.851028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a92d53cb889e7c42a14b356087c239ec3423ef3bd7b99a9f7ab72e8373a48bc

Aliases

arxiv: 0711.0830 · arxiv_version: 0711.0830v3 · doi: 10.48550/arxiv.0711.0830 · pith_short_12: PKJNKPFYRHT4 · pith_short_16: PKJNKPFYRHT4IKQU · pith_short_8: PKJNKPFY

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/PKJNKPFYRHT4IKQUWNLAQ7BDT3 \
  | 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: 7a92d53cb889e7c42a14b356087c239ec3423ef3bd7b99a9f7ab72e8373a48bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad51fa754c546be6ac1e6dc356e82bb4fb3ac3dad5c49f9b61f133345feb40d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-11-06T10:39:15Z",
    "title_canon_sha256": "c26f1169997198402b3e5f41e3e1802c349133784bf439cce19d050253e805b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0830",
    "kind": "arxiv",
    "version": 3
  }
}