Pith Number

pith:F5OR3SHR

pith:2012:F5OR3SHR5LRHZ3J6KMH5OSLB4N

not attested not anchored not stored refs pending

Multiplications and Convolutions in L. Schwartz' Spaces of Test Functions and Distributions and their Continuity

Julian Larcher

arxiv:1209.4174 v2 · 2012-09-19 · 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{F5OR3SHR5LRHZ3J6KMH5OSLB4N}

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	2026-05-18T03:34:35.312588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5d1dc8f1eae27ced3e530fd74961e3719e7c1ce922caf9c5b1f681b7017ac2

Aliases

arxiv: 1209.4174 · arxiv_version: 1209.4174v2 · doi: 10.48550/arxiv.1209.4174 · pith_short_12: F5OR3SHR5LRH · pith_short_16: F5OR3SHR5LRHZ3J6 · pith_short_8: F5OR3SHR

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/F5OR3SHR5LRHZ3J6KMH5OSLB4N \
  | 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: 2f5d1dc8f1eae27ced3e530fd74961e3719e7c1ce922caf9c5b1f681b7017ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0da30f7647d6688cf3ebac5fa94023acae8a6b2bd2eda02c6680a102e34c1f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-19T08:02:13Z",
    "title_canon_sha256": "3c5df062ca1ba2956240bc841ee2129932c35eee3c821d79d0fa52022fd28023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4174",
    "kind": "arxiv",
    "version": 2
  }
}