Pith Number

pith:6KJ3K4UK

pith:2016:6KJ3K4UKYGEOOPEJS5IOZVUTQZ

not attested not anchored not stored refs pending

A note on badly approximable linear forms on manifolds

Natalia Stepanova, Nikolay Moshchevitin, Paloma Bengoechea

arxiv:1601.05990 v2 · 2016-01-22 · 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{6KJ3K4UKYGEOOPEJS5IOZVUTQZ}

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	2026-05-18T00:44:24.971392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f293b5728ac188e73c899750ecd693867e9554dcef5531518f24172ce68efa8b

Aliases

arxiv: 1601.05990 · arxiv_version: 1601.05990v2 · doi: 10.48550/arxiv.1601.05990 · pith_short_12: 6KJ3K4UKYGEO · pith_short_16: 6KJ3K4UKYGEOOPEJ · pith_short_8: 6KJ3K4UK

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/6KJ3K4UKYGEOOPEJS5IOZVUTQZ \
  | 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: f293b5728ac188e73c899750ecd693867e9554dcef5531518f24172ce68efa8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b988f695db77294eca23b8b84525442a40876cf4c2af788c1ccc1705973b9a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-22T13:20:39Z",
    "title_canon_sha256": "5d351aff400b1c4b64078017bc766b586e7872b62a7e16afd52800e90075d08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05990",
    "kind": "arxiv",
    "version": 2
  }
}