Pith Number

pith:6227RHXW

pith:2013:6227RHXWSCVXJGWKYYKGAM4FGL

not attested not anchored not stored refs pending

Pointwise multiplication on vector-valued function spaces with power weights

Mark Veraar, Martin Meyries

arxiv:1311.7404 v2 · 2013-11-28 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6227RHXWSCVXJGWKYYKGAM4FGL}

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	2026-05-18T02:44:01.945011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b5f89ef690ab749acac61460338532fab20c0fbd7b4d45d46cae94b5352ac5

Aliases

arxiv: 1311.7404 · arxiv_version: 1311.7404v2 · doi: 10.48550/arxiv.1311.7404 · pith_short_12: 6227RHXWSCVX · pith_short_16: 6227RHXWSCVXJGWK · pith_short_8: 6227RHXW

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/6227RHXWSCVXJGWKYYKGAM4FGL \
  | 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: f6b5f89ef690ab749acac61460338532fab20c0fbd7b4d45d46cae94b5352ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b80f29106ef1f5cbad0ffdda3254fff6563819fb4f02fcf3b40212b3fe6b953",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-28T19:37:45Z",
    "title_canon_sha256": "1d5b221264b79637a3b5459942c6f6cb15ca635753b5c5bebc6cea063f35ddca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7404",
    "kind": "arxiv",
    "version": 2
  }
}