Pith Number

pith:IUNJXMZ3

pith:2013:IUNJXMZ34KO5MKP2OQPLHABEBA

not attested not anchored not stored refs pending

Decompositions of Weighted Conditional Expectation Type Operators

Yousef Estaremi

arxiv:1302.0597 v1 · 2013-02-04 · 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{IUNJXMZ34KO5MKP2OQPLHABEBA}

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	2026-05-18T03:34:36.758693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451a9bb33be29dd629fa741eb3802408129342aca0f5268cba40831ebe8d0c67

Aliases

arxiv: 1302.0597 · arxiv_version: 1302.0597v1 · doi: 10.48550/arxiv.1302.0597 · pith_short_12: IUNJXMZ34KO5 · pith_short_16: IUNJXMZ34KO5MKP2 · pith_short_8: IUNJXMZ3

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/IUNJXMZ34KO5MKP2OQPLHABEBA \
  | 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: 451a9bb33be29dd629fa741eb3802408129342aca0f5268cba40831ebe8d0c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7818fbac0f15af5e62b2353caa8e1d663c8871e5d345baab8257b0dc0549c9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-04T06:57:10Z",
    "title_canon_sha256": "a368a8e58d6c48c9f08681f46515699f5942c2e3f754278e882c07897a12b207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0597",
    "kind": "arxiv",
    "version": 1
  }
}