Pith Number

pith:YY2UZL4D

pith:2017:YY2UZL4DGXBY2GONII226O243E

not attested not anchored not stored refs pending

The ascent and descent of weighted conditional expectation operators

Yousef Estaremi

arxiv:1711.01540 v2 · 2017-11-05 · 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{YY2UZL4DGXBY2GONII226O243E}

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	2026-05-18T00:06:16.332670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6354caf8335c38d19cd4235af3b5cd924052d5b22b56b1950a5ff59215b3238

Aliases

arxiv: 1711.01540 · arxiv_version: 1711.01540v2 · doi: 10.48550/arxiv.1711.01540 · pith_short_12: YY2UZL4DGXBY · pith_short_16: YY2UZL4DGXBY2GON · pith_short_8: YY2UZL4D

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/YY2UZL4DGXBY2GONII226O243E \
  | 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: c6354caf8335c38d19cd4235af3b5cd924052d5b22b56b1950a5ff59215b3238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52692955772fe70e581ebcc35b211691dec1d67cf9400a18f611ff271ce946f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-05T06:35:34Z",
    "title_canon_sha256": "9d00e0ee08e50603d2043c1201daf44243d8273057f52f24d1be7a4b63b2664e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01540",
    "kind": "arxiv",
    "version": 2
  }
}