Pith Number

pith:NU3Q4MF5

pith:2010:NU3Q4MF5BZHBKX3ZECKHRDA6YS

not attested not anchored not stored refs pending

Exponential Riesz bases, discrepancy of irrational rotations and BMO

Gady Kozma, Nir Lev

arxiv:1009.2188 v2 · 2010-09-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NU3Q4MF5BZHBKX3ZECKHRDA6YS}

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	2026-05-18T04:26:55.581837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d370e30bd0e4e155f792094788c1ec49f0e1f81d5adb5f441be93f8ec419f75

Aliases

arxiv: 1009.2188 · arxiv_version: 1009.2188v2 · doi: 10.48550/arxiv.1009.2188 · pith_short_12: NU3Q4MF5BZHB · pith_short_16: NU3Q4MF5BZHBKX3Z · pith_short_8: NU3Q4MF5

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/NU3Q4MF5BZHBKX3ZECKHRDA6YS \
  | 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: 6d370e30bd0e4e155f792094788c1ec49f0e1f81d5adb5f441be93f8ec419f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de855cd6db92c37c37d6aa01ec52b9105032326530065d62ed42ad70a7147577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-11T17:33:13Z",
    "title_canon_sha256": "ed76787c84ea1561c08f4cff0782e5489c62367a63b42e45c9643cd43e2c2097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2188",
    "kind": "arxiv",
    "version": 2
  }
}