Pith Number

pith:U553SQX5

pith:2012:U553SQX5OKJDLAM3PL6NYM2ZHM

not attested not anchored not stored refs pending

The Weak Expectation Property and Riesz Interpolation

Ali S. Kavruk

arxiv:1201.5414 v1 · 2012-01-25 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U553SQX5OKJDLAM3PL6NYM2ZHM}

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	2026-05-18T04:03:54.067580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c

Aliases

arxiv: 1201.5414 · arxiv_version: 1201.5414v1 · doi: 10.48550/arxiv.1201.5414 · pith_short_12: U553SQX5OKJD · pith_short_16: U553SQX5OKJDLAM3 · pith_short_8: U553SQX5

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/U553SQX5OKJDLAM3PL6NYM2ZHM \
  | 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: a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39feb5fcf5bbdca69aea168cb1c6d2e7770fd28bd92e111e255b2bfedbb43f73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-25T23:36:26Z",
    "title_canon_sha256": "3f8ac8a9b2fc99a0b9110c1897003385180bf89c799addf1ef2f343a4e966190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5414",
    "kind": "arxiv",
    "version": 1
  }
}