Pith Number

pith:G4CV3YM7

pith:2018:G4CV3YM76ALFPIABY3PBOBWGH6

not attested not anchored not stored refs pending

Bourgain discretization using Lebesgue-Bochner spaces

Beata Randrianantoanina, Mikhail I. Ostrovskii

arxiv:1811.04090 v1 · 2018-11-09 · 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{G4CV3YM76ALFPIABY3PBOBWGH6}

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	2026-05-18T00:01:06.341567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37055de19ff01657a001c6de1706c63fbd6b4f6d140551d80ebe3b0294d5c20e

Aliases

arxiv: 1811.04090 · arxiv_version: 1811.04090v1 · doi: 10.48550/arxiv.1811.04090 · pith_short_12: G4CV3YM76ALF · pith_short_16: G4CV3YM76ALFPIAB · pith_short_8: G4CV3YM7

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/G4CV3YM76ALFPIABY3PBOBWGH6 \
  | 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: 37055de19ff01657a001c6de1706c63fbd6b4f6d140551d80ebe3b0294d5c20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6803e5ce6935c425d46e54633007a664acd34bd303f772c1a1d902f60e1dd06d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-09T19:00:46Z",
    "title_canon_sha256": "2fd24039cd73457700c8b1df0cedc911733df08bc520b95113de5ee9f33da098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04090",
    "kind": "arxiv",
    "version": 1
  }
}