Pith Number

pith:CTUKQABY

pith:2012:CTUKQABYG7APCVLMSYKTSRYDQZ

not attested not anchored not stored refs pending

Weighted bounds for variational Fourier series

Michael Lacey, Yen Do

arxiv:1207.1150 v2 · 2012-07-05 · 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{CTUKQABYG7APCVLMSYKTSRYDQZ}

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	2026-05-18T01:33:58.897568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e8a8003837c0f1556c9615394703866f2ab09dfe0809cca5a1b57ad6cbd10c

Aliases

arxiv: 1207.1150 · arxiv_version: 1207.1150v2 · doi: 10.48550/arxiv.1207.1150 · pith_short_12: CTUKQABYG7AP · pith_short_16: CTUKQABYG7APCVLM · pith_short_8: CTUKQABY

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/CTUKQABYG7APCVLMSYKTSRYDQZ \
  | 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: 14e8a8003837c0f1556c9615394703866f2ab09dfe0809cca5a1b57ad6cbd10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d2d188a4ce12dc577480d3def22e7603118bb07ca00c8633858a868c6d0106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-05T01:10:52Z",
    "title_canon_sha256": "bcb89e284f028a6b4b093512fb722cba323c5a5fc6dce0e6702e9625820a5bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1150",
    "kind": "arxiv",
    "version": 2
  }
}