Pith Number

pith:QDKUOXKS

pith:2009:QDKUOXKSGNPGPUJQYH6O22WGWK

not attested not anchored not stored refs pending

Sharp Continuity Results for the Short-Time Fourier Transform and for Localization Operators

Elena Cordero, Fabio Nicola

arxiv:0904.1508 v2 · 2009-04-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDKUOXKSGNPGPUJQYH6O22WGWK}

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	2026-05-18T01:11:55.638015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d5475d52335e67d130c1fced6ac6b2bca60d4cdc5ef8a301b2e038d6f9944a

Aliases

arxiv: 0904.1508 · arxiv_version: 0904.1508v2 · doi: 10.48550/arxiv.0904.1508 · pith_short_12: QDKUOXKSGNPG · pith_short_16: QDKUOXKSGNPGPUJQ · pith_short_8: QDKUOXKS

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/QDKUOXKSGNPGPUJQYH6O22WGWK \
  | 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: 80d5475d52335e67d130c1fced6ac6b2bca60d4cdc5ef8a301b2e038d6f9944a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3a618270879c4631b806cdb090444aa45ce44be13f2d5cc78e98e3c51223eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-09T11:55:21Z",
    "title_canon_sha256": "5fd5eb7f4392b0181a24411e2993f7c5bcef5a4f3ebbd8a431d3e8afe1c8346d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1508",
    "kind": "arxiv",
    "version": 2
  }
}