Pith Number

pith:TP44MVW2

pith:2015:TP44MVW2QBBUUCPIOBCOG6L34R

not attested not anchored not stored refs pending

Compact embedding derivatives of Hardy spaces into Lebesgue spaces

Jos\'e \'Angel Pel\'aez

arxiv:1502.05527 v1 · 2015-02-19 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TP44MVW2QBBUUCPIOBCOG6L34R}

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	2026-05-18T02:26:46.317816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf9c656da80434a09e87044e3797be47a842e9134091e6c4c1cd6acc48b09a7

Aliases

arxiv: 1502.05527 · arxiv_version: 1502.05527v1 · doi: 10.48550/arxiv.1502.05527 · pith_short_12: TP44MVW2QBBU · pith_short_16: TP44MVW2QBBUUCPI · pith_short_8: TP44MVW2

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/TP44MVW2QBBUUCPIOBCOG6L34R \
  | 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: 9bf9c656da80434a09e87044e3797be47a842e9134091e6c4c1cd6acc48b09a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bad22cc36cb8eae6b4daf995b2c53725f718848fe1cda45bd4abe2b6a9dbd28",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-19T11:12:09Z",
    "title_canon_sha256": "ae6f7454720242803414ee60e904b3a3092933fd11eecd8e99777ebaaad82e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05527",
    "kind": "arxiv",
    "version": 1
  }
}