Pith Number

pith:6HSECOL5

pith:2013:6HSECOL5FAF652GA7NLQ5POBHT

not attested not anchored not stored refs pending

Diophantine properties of continued fractions on the Heisenberg group

Joseph Vandehey

arxiv:1309.5154 v2 · 2013-09-20 · 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{6HSECOL5FAF652GA7NLQ5POBHT}

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	2026-05-18T01:33:57.181603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e441397d280beee8c0fb570ebdc13cca13e2da7fea07d0cdf783455486a483

Aliases

arxiv: 1309.5154 · arxiv_version: 1309.5154v2 · doi: 10.48550/arxiv.1309.5154 · pith_short_12: 6HSECOL5FAF6 · pith_short_16: 6HSECOL5FAF652GA · pith_short_8: 6HSECOL5

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/6HSECOL5FAF652GA7NLQ5POBHT \
  | 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: f1e441397d280beee8c0fb570ebdc13cca13e2da7fea07d0cdf783455486a483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98fbfa9ec50f52e7fd9f878769df9c6d0d96cb3813260f0c64bbf8ee2eef451e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-20T01:59:44Z",
    "title_canon_sha256": "797ebbffeae37faf8fe3739accf3b4cc1734115688777ee0ca15be56ab599c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5154",
    "kind": "arxiv",
    "version": 2
  }
}