Pith Number

pith:TQR6EZ2G

pith:2016:TQR6EZ2G2J73G7AAFF3XU65IC2

not attested not anchored not stored refs pending

Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)

K. Rush, S. Denisov

arxiv:1601.03367 v2 · 2016-01-13 · 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{TQR6EZ2G2J73G7AAFF3XU65IC2}

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	2026-05-18T01:00:39.864049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c23e26746d27fb37c0029777a7ba816999fcdc162e712efc76121fe94ed49ac

Aliases

arxiv: 1601.03367 · arxiv_version: 1601.03367v2 · doi: 10.48550/arxiv.1601.03367 · pith_short_12: TQR6EZ2G2J73 · pith_short_16: TQR6EZ2G2J73G7AA · pith_short_8: TQR6EZ2G

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/TQR6EZ2G2J73G7AAFF3XU65IC2 \
  | 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: 9c23e26746d27fb37c0029777a7ba816999fcdc162e712efc76121fe94ed49ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbbb104a69fe12c2a00493bd9d4292e118ce6f3b65f3bf0d5ecb4785c940313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-13T20:07:09Z",
    "title_canon_sha256": "02710d14a1a6e859aa171ac1422b0264b11ba6b8ebbd99695525a007d5eda4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03367",
    "kind": "arxiv",
    "version": 2
  }
}