Pith Number

pith:CKDL6TVU

pith:2009:CKDL6TVUYKFDLYW5EOQSOXVXON

not attested not anchored not stored refs pending

Orthonormal sequences in $L^2(R^d)$ and time frequency localization

Eugenia Malinnikova

arxiv:0903.3763 v1 · 2009-03-23 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKDL6TVUYKFDLYW5EOQSOXVXON}

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	2026-05-18T03:45:21.464611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1286bf4eb4c28a35e2dd23a1275eb773488995e1b94c3825bdbf1ee5664d9603

Aliases

arxiv: 0903.3763 · arxiv_version: 0903.3763v1 · doi: 10.48550/arxiv.0903.3763 · pith_short_12: CKDL6TVUYKFD · pith_short_16: CKDL6TVUYKFDLYW5 · pith_short_8: CKDL6TVU

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/CKDL6TVUYKFDLYW5EOQSOXVXON \
  | 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: 1286bf4eb4c28a35e2dd23a1275eb773488995e1b94c3825bdbf1ee5664d9603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009ec9961ba986b249a51b2ba7a33c18ff64eb037a03bfbfd7b890a3f30e6b91",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-23T19:55:32Z",
    "title_canon_sha256": "dbb5e3e6597fd1c6daaaa4fc7c5da1f956c34c510bbbee81b0afce414763adc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3763",
    "kind": "arxiv",
    "version": 1
  }
}