Pith Number

pith:R2PRCWET

pith:2017:R2PRCWETYPP2JP4WEA62AGD3Y4

not attested not anchored not stored refs pending

Lacunary M\"untz spaces: isomorphisms and Carleson embeddings

Loic Gaillard, Pascal Lef\`evre

arxiv:1701.05807 v1 · 2017-01-20 · 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{R2PRCWETYPP2JP4WEA62AGD3Y4}

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	2026-05-18T00:52:24.698842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9f115893c3dfa4bf96203da0187bc703d5b73dfb41a16934f8b3ff8ac79ec5

Aliases

arxiv: 1701.05807 · arxiv_version: 1701.05807v1 · doi: 10.48550/arxiv.1701.05807 · pith_short_12: R2PRCWETYPP2 · pith_short_16: R2PRCWETYPP2JP4W · pith_short_8: R2PRCWET

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/R2PRCWETYPP2JP4WEA62AGD3Y4 \
  | 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: 8e9f115893c3dfa4bf96203da0187bc703d5b73dfb41a16934f8b3ff8ac79ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771eacf8e74f8ef56c1f3d8b0196de424c4301aa7a4dd9b9fb21d1a9de923844",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-20T14:38:12Z",
    "title_canon_sha256": "85b0bfdb8aa4c8c8b36ddce00226d17567a51e879ebdf776203c543a4b5543d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05807",
    "kind": "arxiv",
    "version": 1
  }
}