Pith Number

pith:NORKLXEI

pith:2016:NORKLXEIZJ4XC2Q7RKJEF3AKCJ

not attested not anchored not stored refs pending

Evenly Divisible Rational Approximations of Quadratic Irrationalities

Dan Carmon

arxiv:1612.00382 v2 · 2016-12-01 · 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{NORKLXEIZJ4XC2Q7RKJEF3AKCJ}

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	2026-05-18T00:55:54.011977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba2a5dc88ca79716a1f8a9242ec0a124bb635da4fbbee2713762b97a6987887

Aliases

arxiv: 1612.00382 · arxiv_version: 1612.00382v2 · doi: 10.48550/arxiv.1612.00382 · pith_short_12: NORKLXEIZJ4X · pith_short_16: NORKLXEIZJ4XC2Q7 · pith_short_8: NORKLXEI

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/NORKLXEIZJ4XC2Q7RKJEF3AKCJ \
  | 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: 6ba2a5dc88ca79716a1f8a9242ec0a124bb635da4fbbee2713762b97a6987887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358e3416ebb81aa856a915e73e96b9bd87a0a816528a8f2bfcd6f4fd64ddf4b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-01T19:08:08Z",
    "title_canon_sha256": "7cbf77b16e07a4e4c82372df5e29fd389b229cff9b6f76a83f98dd10536a08bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00382",
    "kind": "arxiv",
    "version": 2
  }
}