Pith Number

pith:FIH5ROVO

pith:2012:FIH5ROVOQRR4AQD6JVGU3PIW2I

not attested not anchored not stored refs pending

On generalized Besov and Triebel-Lizorkin spaces of regular distributions

Ant\'onio Caetano, Hans-Gerd Leopold

arxiv:1210.0795 v1 · 2012-10-02 · 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{FIH5ROVOQRR4AQD6JVGU3PIW2I}

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	2026-05-18T03:44:14.224971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0fd8baae8463c0407e4d4d4dbd16d226f46d1f740a1b7c3f757c5ad85d8282

Aliases

arxiv: 1210.0795 · arxiv_version: 1210.0795v1 · doi: 10.48550/arxiv.1210.0795 · pith_short_12: FIH5ROVOQRR4 · pith_short_16: FIH5ROVOQRR4AQD6 · pith_short_8: FIH5ROVO

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/FIH5ROVOQRR4AQD6JVGU3PIW2I \
  | 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: 2a0fd8baae8463c0407e4d4d4dbd16d226f46d1f740a1b7c3f757c5ad85d8282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561788f2aa7371a0ec24e5b2395845dd1b3918aa237dfed8b1e008099db6a308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-02T14:56:27Z",
    "title_canon_sha256": "f384c2b0359592e040f456c1a90bce64272c29673610b51c322156265fa98533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0795",
    "kind": "arxiv",
    "version": 1
  }
}