Pith Number

pith:QPQUKKTR

pith:2012:QPQUKKTRWD37B3YAVKA5N5OSQQ

not attested not anchored not stored refs pending

Unconditional structures of translates for $L_p(R^d)$

A. Zs\'ak, D. Freeman, E. Odell, Th. Schlumprecht

arxiv:1209.4619 v1 · 2012-09-20 · 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{QPQUKKTRWD37B3YAVKA5N5OSQQ}

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	2026-05-18T03:45:11.153858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e1452a71b0f7f0ef00aa81d6f5d2842e798827a3ebc76a21ddac1798bf6839

Aliases

arxiv: 1209.4619 · arxiv_version: 1209.4619v1 · doi: 10.48550/arxiv.1209.4619 · pith_short_12: QPQUKKTRWD37 · pith_short_16: QPQUKKTRWD37B3YA · pith_short_8: QPQUKKTR

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/QPQUKKTRWD37B3YAVKA5N5OSQQ \
  | 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: 83e1452a71b0f7f0ef00aa81d6f5d2842e798827a3ebc76a21ddac1798bf6839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79129303ef85f71f8ef1c8ae175a15efb8bbb3da0c6ca2760de5e381f1b34137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-20T19:13:28Z",
    "title_canon_sha256": "6e0a9998752b5b470567e4b27e8c6038d5d996c456dfb04413719c30b4036525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4619",
    "kind": "arxiv",
    "version": 1
  }
}