Pith Number

pith:ZGTS2R4P

pith:1994:ZGTS2R4PWX4BQ5ZQW67MM5DVMI

not attested not anchored not stored refs pending

On Convergence of Conditional Expectation Operators

C. Bryan Dawson

arxiv:math/9412211 v1 · 1994-12-05 · 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{ZGTS2R4PWX4BQ5ZQW67MM5DVMI}

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	2026-05-18T01:05:50.768404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a72d478fb5f8187730b7bec67475620e6b66001ad6effdc0b9319c9d7927c9

Aliases

arxiv: math/9412211 · arxiv_version: math/9412211v1 · doi: 10.48550/arxiv.math/9412211 · pith_short_12: ZGTS2R4PWX4B · pith_short_16: ZGTS2R4PWX4BQ5ZQ · pith_short_8: ZGTS2R4P

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/ZGTS2R4PWX4BQ5ZQW67MM5DVMI \
  | 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: c9a72d478fb5f8187730b7bec67475620e6b66001ad6effdc0b9319c9d7927c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da539d8d5cdb6780886b23dbb0d2f68748998c70e5974f084b3b61379c78dd5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1994-12-05T17:46:25Z",
    "title_canon_sha256": "8be28f407ff4a31cf63a6cce973a104c6e219d081ac3ae9500e98fa7a4c66a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9412211",
    "kind": "arxiv",
    "version": 1
  }
}