Pith Number

pith:4PXGNGS2

pith:2002:4PXGNGS2H676ZQZXFQHMCMNSM3

not attested not anchored not stored refs pending

On the order of unimodular matrices modulo integers

P. Kurlberg

arxiv:math/0202053 v1 · 2002-02-06 · math.NT · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PXGNGS2H676ZQZXFQHMCMNSM3}

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	2026-05-18T01:38:29.681379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ee669a5a3fbfecc3372c0ec131b266ee9bb69b689f8af6cc06ae6b415fefc2

Aliases

arxiv: math/0202053 · arxiv_version: math/0202053v1 · doi: 10.48550/arxiv.math/0202053 · pith_short_12: 4PXGNGS2H676 · pith_short_16: 4PXGNGS2H676ZQZX · pith_short_8: 4PXGNGS2

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/4PXGNGS2H676ZQZXFQHMCMNSM3 \
  | 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: e3ee669a5a3fbfecc3372c0ec131b266ee9bb69b689f8af6cc06ae6b415fefc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e6ad8d7cd23210bdca0a4b27a36a79b20ab6e52f9b50b59e90c8719cbcbb5c",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-02-06T18:40:24Z",
    "title_canon_sha256": "511445dcf4544596c4a42abbf77faa330449ead598196ec792067c56cb36c330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202053",
    "kind": "arxiv",
    "version": 1
  }
}