Pith Number

pith:AFEBZHFC

pith:2018:AFEBZHFCEOJ5BP3DWJLOLE6VWY

not attested not anchored not stored refs pending

Primarity of direct sums of Orlicz spaces and Marcinkiewicz spaces

Jose L. Ansorena

arxiv:1809.05749 v1 · 2018-09-15 · 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{AFEBZHFCEOJ5BP3DWJLOLE6VWY}

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	2026-05-18T00:05:36.636411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01481c9ca22393d0bf63b256e593d5b62aa236a2fc3749c8dbd8d1a9d03c2865

Aliases

arxiv: 1809.05749 · arxiv_version: 1809.05749v1 · doi: 10.48550/arxiv.1809.05749 · pith_short_12: AFEBZHFCEOJ5 · pith_short_16: AFEBZHFCEOJ5BP3D · pith_short_8: AFEBZHFC

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/AFEBZHFCEOJ5BP3DWJLOLE6VWY \
  | 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: 01481c9ca22393d0bf63b256e593d5b62aa236a2fc3749c8dbd8d1a9d03c2865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fef2b83499799eb0d4fba98d305ff1557d57eaf9e2ffd0137d331fa4c1c5b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-15T17:44:24Z",
    "title_canon_sha256": "e1ef8aa616dd76a16fac2dde4674b324927b1125a6360fc557d223fdf68e5655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05749",
    "kind": "arxiv",
    "version": 1
  }
}