Pith Number

pith:RAX6SR3O

pith:2012:RAX6SR3OED3Z5Z7OOFCZQZKELG

not attested not anchored not stored refs pending

Approximation properties and Schauder decompositions in Lipschitz-free spaces

Eva Pernecka, Gilles Lancien

arxiv:1207.1583 v1 · 2012-07-06 · 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{RAX6SR3OED3Z5Z7OOFCZQZKELG}

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	2026-05-18T03:51:36.786031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882fe9476e20f79ee7ee714598654459b417e3d8b2822083acbd5e4e675b5229

Aliases

arxiv: 1207.1583 · arxiv_version: 1207.1583v1 · doi: 10.48550/arxiv.1207.1583 · pith_short_12: RAX6SR3OED3Z · pith_short_16: RAX6SR3OED3Z5Z7O · pith_short_8: RAX6SR3O

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/RAX6SR3OED3Z5Z7OOFCZQZKELG \
  | 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: 882fe9476e20f79ee7ee714598654459b417e3d8b2822083acbd5e4e675b5229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50330592c5b7b7d2f25c7b1c3a78d073fdb4519a27296fcb71c9434b91645436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-06T11:03:48Z",
    "title_canon_sha256": "615a860fd4b08da2b5082adc1d3df166df807d5149e019d589a2ed13f3750918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1583",
    "kind": "arxiv",
    "version": 1
  }
}