Pith Number

pith:DCSGZWEU

pith:2008:DCSGZWEUKKY7HXOQNV5SCV2IR6

not attested not anchored not stored refs pending

Sharpness of some properties of Wiener amalgam and modulation spaces

Elena Cordero, Fabio Nicola

arxiv:0803.3140 v1 · 2008-03-21 · math.FA · 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{DCSGZWEUKKY7HXOQNV5SCV2IR6}

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	2026-05-18T01:11:55.658175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a46cd89452b1f3ddd06d7b2157488fb16709d1b750c9996533c71c61b47adb

Aliases

arxiv: 0803.3140 · arxiv_version: 0803.3140v1 · doi: 10.48550/arxiv.0803.3140 · pith_short_12: DCSGZWEUKKY7 · pith_short_16: DCSGZWEUKKY7HXOQ · pith_short_8: DCSGZWEU

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/DCSGZWEUKKY7HXOQNV5SCV2IR6 \
  | 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: 18a46cd89452b1f3ddd06d7b2157488fb16709d1b750c9996533c71c61b47adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7129ea8d2c7872f5f2f997bddddf3a671fe46cf7233914bda1128974e7d01b0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-03-21T10:41:54Z",
    "title_canon_sha256": "a8fa7504bacc81db69c63278b6157c31613c51e4e629a2be1238a4c5674fe506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3140",
    "kind": "arxiv",
    "version": 1
  }
}