Pith Number

pith:BUXUQZU7

pith:2018:BUXUQZU7524ZPRWZY67DACWWZR

not attested not anchored not stored refs pending

Linear Lipschitz and $C^1$ extension operators through random projection

Elia Bru\`e, Federico Stra, Simone Di Marino

arxiv:1801.07533 v1 · 2018-01-23 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUXUQZU7524ZPRWZY67DACWWZR}

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	2026-05-18T00:25:12.644335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d2f48669feeb997c6d9c7be300ad6cc44e9d8104fbad9c6f4db63f08569b1e3

Aliases

arxiv: 1801.07533 · arxiv_version: 1801.07533v1 · doi: 10.48550/arxiv.1801.07533 · pith_short_12: BUXUQZU7524Z · pith_short_16: BUXUQZU7524ZPRWZ · pith_short_8: BUXUQZU7

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/BUXUQZU7524ZPRWZY67DACWWZR \
  | 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: 0d2f48669feeb997c6d9c7be300ad6cc44e9d8104fbad9c6f4db63f08569b1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63e35d2a4c867cd9cdb6bbaa07d39352f18a87c8d75bb1f37996e069b0ccb2d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-23T13:43:17Z",
    "title_canon_sha256": "d0afcd7706427af5a66c657e61008eb0b07976448f21879db9724d0649dea429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07533",
    "kind": "arxiv",
    "version": 1
  }
}