Pith Number

pith:7SW2S2KY

pith:2012:7SW2S2KY3YHCNYO5KYGENAJXUZ

not attested not anchored not stored refs pending

Similarity results for operators of class $C_0$ and the algebra $H^\infty(T)$

Rapha\"el Clou\^atre

arxiv:1208.3416 v3 · 2012-08-16 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SW2S2KY3YHCNYO5KYGENAJXUZ}

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	2026-05-18T02:51:23.590662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcada96958de0e26e1dd560c468137a647b1aaf8411c339616aab58344af6031

Aliases

arxiv: 1208.3416 · arxiv_version: 1208.3416v3 · doi: 10.48550/arxiv.1208.3416 · pith_short_12: 7SW2S2KY3YHC · pith_short_16: 7SW2S2KY3YHCNYO5 · pith_short_8: 7SW2S2KY

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/7SW2S2KY3YHCNYO5KYGENAJXUZ \
  | 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: fcada96958de0e26e1dd560c468137a647b1aaf8411c339616aab58344af6031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26da474e503a593de828021b2a97d57164a1a53863f80fb6435ac67f180d797",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-16T16:49:06Z",
    "title_canon_sha256": "fbc716973c2447d09602ba1ea7218ec48cf9946150eb1c67f3a496592a38dd33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3416",
    "kind": "arxiv",
    "version": 3
  }
}