Pith Number

pith:E23FAAL6

pith:2009:E23FAAL67SCE2OH4OHAGMHLH2Z

not attested not anchored not stored refs pending

Discrete Wave-front sets of Fourier Lebesgue and modulation space types

Joachim Toft, Karoline Johansson, Nenad Teofanov, Stevan Pilipovic

arxiv:0909.1237 v1 · 2009-09-07 · math.FA · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E23FAAL67SCE2OH4OHAGMHLH2Z}

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	2026-06-03T23:06:28.686772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b650017efc844d38fc71c0661d67d674b097b190101bf05240cb183a849858

Aliases

arxiv: 0909.1237 · arxiv_version: 0909.1237v1 · doi: 10.48550/arxiv.0909.1237 · pith_short_12: E23FAAL67SCE · pith_short_16: E23FAAL67SCE2OH4 · pith_short_8: E23FAAL6

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/E23FAAL67SCE2OH4OHAGMHLH2Z \
  | 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: 26b650017efc844d38fc71c0661d67d674b097b190101bf05240cb183a849858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46769c6f394ed45d36dfeb4dae259ab492d4a24fc7ac9836ab3c445f5823933",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-09-07T12:33:43Z",
    "title_canon_sha256": "ed5a6f863c8271986ea682b77988c39faf50f750539b048593329b206f6ba8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1237",
    "kind": "arxiv",
    "version": 1
  }
}