Pith Number

pith:R57EACUQ

pith:2010:R57EACUQEPYZKY5LCHD4GPLSAG

not attested not anchored not stored refs pending

Modulation spaces, Wiener amalgam spaces, and Brownian motions

\'Arp\'ad B\'enyi, Tadahiro Oh

arxiv:1007.1957 v2 · 2010-07-12 · math.FA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R57EACUQEPYZKY5LCHD4GPLSAG}

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	2026-05-18T04:15:16.912479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7e400a9023f19563ab11c7c33d7201b07031cad8c0fbc4557690ba6037a5c5

Aliases

arxiv: 1007.1957 · arxiv_version: 1007.1957v2 · doi: 10.48550/arxiv.1007.1957 · pith_short_12: R57EACUQEPYZ · pith_short_16: R57EACUQEPYZKY5L · pith_short_8: R57EACUQ

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/R57EACUQEPYZKY5LCHD4GPLSAG \
  | 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: 8f7e400a9023f19563ab11c7c33d7201b07031cad8c0fbc4557690ba6037a5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d11d8446472a110c7b9f145ab0fb2cf0c3a1843c6cf30dc4359ed3a49993a5",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-12T18:42:30Z",
    "title_canon_sha256": "a95bca26c8cc7e4697c8bc04e5154e1e1a480ad60dd65e080711f50ec2e49e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1957",
    "kind": "arxiv",
    "version": 2
  }
}