Pith Number

pith:ZLSKKZG3

pith:2019:ZLSKKZG3YY66Q7QNEIGIYNET26

not attested not anchored not stored refs pending

Commonotonicity and $L^1$ Random Variables

Freddy Delbaen

arxiv:1905.04861 v1 · 2019-05-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLSKKZG3YY66Q7QNEIGIYNET26}

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	2026-05-17T23:46:23.287449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae4a564dbc63de87e0d220c8c3493d79088664e7c2d340582339114ec24e8a3

Aliases

arxiv: 1905.04861 · arxiv_version: 1905.04861v1 · doi: 10.48550/arxiv.1905.04861 · pith_short_12: ZLSKKZG3YY66 · pith_short_16: ZLSKKZG3YY66Q7QN · pith_short_8: ZLSKKZG3

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/ZLSKKZG3YY66Q7QNEIGIYNET26 \
  | 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: cae4a564dbc63de87e0d220c8c3493d79088664e7c2d340582339114ec24e8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0bc0966daf32bc205f5a2be7a39bba1a1a68ccf64df68895db188c64cef660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-13T05:12:46Z",
    "title_canon_sha256": "7a53b8b776f254de2b2ee2b28c65dc24e51f17b7970193fc7936eb781f33ef19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04861",
    "kind": "arxiv",
    "version": 1
  }
}