Pith Number

pith:3Q7VEIKL

pith:2008:3Q7VEIKL72FACRJ4GUDNMV7L22

not attested not anchored not stored refs pending

Some extremal functions in Fourier analysis, III

Emanuel Carneiro, Jeffrey D. Vaaler

arxiv:0809.4053 v1 · 2008-09-23 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Q7VEIKL72FACRJ4GUDNMV7L22}

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	2026-05-18T04:20:50.127397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3f52214bfe8a01453c3506d657ebd6997ab78d0abdefa09052a8b643a4c425

Aliases

arxiv: 0809.4053 · arxiv_version: 0809.4053v1 · doi: 10.48550/arxiv.0809.4053 · pith_short_12: 3Q7VEIKL72FA · pith_short_16: 3Q7VEIKL72FACRJ4 · pith_short_8: 3Q7VEIKL

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/3Q7VEIKL72FACRJ4GUDNMV7L22 \
  | 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: dc3f52214bfe8a01453c3506d657ebd6997ab78d0abdefa09052a8b643a4c425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675108e7ce84b787ebb12dbc1432ec636c3fc078615c3f24633a0ff48d4620c0",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-09-23T23:36:11Z",
    "title_canon_sha256": "733ae4bbfd853071a4a988b11dc2e80ea11f86fbdf1c16d3bc17bc7e735d015c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4053",
    "kind": "arxiv",
    "version": 1
  }
}