Pith Number

pith:DB5N37M6

pith:2017:DB5N37M6OKFWH6LRRDJXZKJD6E

not attested not anchored not stored refs pending

Badly approximable numbers over imaginary quadratic fields

Robert Hines

arxiv:1707.07231 v3 · 2017-07-22 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DB5N37M6OKFWH6LRRDJXZKJD6E}

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	2026-05-18T00:05:19.727943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187addfd9e728b63f97188d37ca923f10b87c4823528f5aec5aa1e809f21ca32

Aliases

arxiv: 1707.07231 · arxiv_version: 1707.07231v3 · doi: 10.48550/arxiv.1707.07231 · pith_short_12: DB5N37M6OKFW · pith_short_16: DB5N37M6OKFWH6LR · pith_short_8: DB5N37M6

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/DB5N37M6OKFWH6LRRDJXZKJD6E \
  | 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: 187addfd9e728b63f97188d37ca923f10b87c4823528f5aec5aa1e809f21ca32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0799f56412bfef53b2b8fd435c25b06ede67955dfeac57e63eab3b13e315b0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-22T23:34:31Z",
    "title_canon_sha256": "44a0513e3fff64cbeaed54ec51a649d21e181dc2998daaca429e1841ced0c8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07231",
    "kind": "arxiv",
    "version": 3
  }
}