Pith Number

pith:7CINA57R

pith:2013:7CINA57RJDZZDJYUHIVOWBA6MW

not attested not anchored not stored refs pending

Some classes of weighted conditional expectation type operators on $l^2(\sigma)

Yousef Estaremi

arxiv:1301.5726 v3 · 2013-01-24 · 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{7CINA57RJDZZDJYUHIVOWBA6MW}

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	2026-05-18T03:13:12.687495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f890d077f148f391a7143a2aeb041e659cfcfdd95f755e2b86bfd19beafd616c

Aliases

arxiv: 1301.5726 · arxiv_version: 1301.5726v3 · doi: 10.48550/arxiv.1301.5726 · pith_short_12: 7CINA57RJDZZ · pith_short_16: 7CINA57RJDZZDJYU · pith_short_8: 7CINA57R

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/7CINA57RJDZZDJYUHIVOWBA6MW \
  | 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: f890d077f148f391a7143a2aeb041e659cfcfdd95f755e2b86bfd19beafd616c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e2655a871b706666764e804d4c24252ea10e0e09626d09e86cbb7002e27d49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-24T08:04:56Z",
    "title_canon_sha256": "61c8bd16fb99678d9aa5f1841d037efbf025ec11f40a76e9b81418dc6a1d5f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5726",
    "kind": "arxiv",
    "version": 3
  }
}