Pith Number

pith:LA7FWJKI

pith:2016:LA7FWJKIVPHOEB3NC2FKZ2CWJ4

not attested not anchored not stored refs pending

Convex functions on dual Orlicz spaces

Freddy Delbaen, Keita Owari

arxiv:1611.06218 v2 · 2016-11-18 · math.FA · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA7FWJKIVPHOEB3NC2FKZ2CWJ4}

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	2026-05-18T00:27:02.848352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583e5b2548abcee2076d168aace8564f30a30b47dfc2498d089e724f131188d9

Aliases

arxiv: 1611.06218 · arxiv_version: 1611.06218v2 · doi: 10.48550/arxiv.1611.06218 · pith_short_12: LA7FWJKIVPHO · pith_short_16: LA7FWJKIVPHOEB3N · pith_short_8: LA7FWJKI

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/LA7FWJKIVPHOEB3NC2FKZ2CWJ4 \
  | 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: 583e5b2548abcee2076d168aace8564f30a30b47dfc2498d089e724f131188d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76666e0576bd5f06c6edf7291d15fea1435532d566e52469d9a4f1decfe1010",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-18T20:39:11Z",
    "title_canon_sha256": "0f43c773d782cab2753b050eb584dba80152365b8601be12c899510eaafc54f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06218",
    "kind": "arxiv",
    "version": 2
  }
}