Pith Number

pith:XEU7T3YU

pith:2009:XEU7T3YUM3NUMJKSIQPQMNVY3E

not attested not anchored not stored refs pending

Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces

Elena Cordero, Fabio Nicola

arxiv:0904.1691 v1 · 2009-04-10 · math.AP · 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{XEU7T3YUM3NUMJKSIQPQMNVY3E}

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	2026-05-18T01:11:55.633126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b929f9ef1466db462552441f0636b8d913a8b2a397ca49d1fdf06a6dfe5d02e5

Aliases

arxiv: 0904.1691 · arxiv_version: 0904.1691v1 · doi: 10.48550/arxiv.0904.1691 · pith_short_12: XEU7T3YUM3NU · pith_short_16: XEU7T3YUM3NUMJKS · pith_short_8: XEU7T3YU

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/XEU7T3YUM3NUMJKSIQPQMNVY3E \
  | 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: b929f9ef1466db462552441f0636b8d913a8b2a397ca49d1fdf06a6dfe5d02e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be01575b0f55d706fb3ab2fbd6ac9a6074df3be10251dc73aa2e842e09238cf",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-10T14:04:10Z",
    "title_canon_sha256": "5b05b7a93d94dc4f87f03566680bea9cb38b847fb92e23b1ed3ffb52b47ec691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1691",
    "kind": "arxiv",
    "version": 1
  }
}