Pith Number

pith:B6ITDD4Z

pith:2014:B6ITDD4ZOAY3YF5N6PJQT6CEKS

not attested not anchored not stored refs pending

Lagrange's Theorem for continued fractions on the Heisenberg group

Joseph Vandehey

arxiv:1409.0509 v1 · 2014-09-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6ITDD4ZOAY3YF5N6PJQT6CEKS}

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	2026-05-18T02:43:52.640291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f91318f997031bc17adf3d309f84454be1f2a2370e82fcecf28f0b67b2b8156

Aliases

arxiv: 1409.0509 · arxiv_version: 1409.0509v1 · doi: 10.48550/arxiv.1409.0509 · pith_short_12: B6ITDD4ZOAY3 · pith_short_16: B6ITDD4ZOAY3YF5N · pith_short_8: B6ITDD4Z

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/B6ITDD4ZOAY3YF5N6PJQT6CEKS \
  | 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: 0f91318f997031bc17adf3d309f84454be1f2a2370e82fcecf28f0b67b2b8156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915e0627bef0dc1abb34a2b68bb0d1282275496ce9adbd50f047ccd8c330003e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-01T19:06:12Z",
    "title_canon_sha256": "42fde817f146ddb54b002379eda097288c4efc74e1615bdc0394af12325f987c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0509",
    "kind": "arxiv",
    "version": 1
  }
}