Pith Number

pith:PKUKZ24D

pith:2015:PKUKZ24D7LTJC56YXRISDKC2FN

not attested not anchored not stored refs pending

On the relationship between three classes of operators on Riesz spaces

Liang Hong

arxiv:1504.08016 v3 · 2015-04-29 · 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{PKUKZ24D7LTJC56YXRISDKC2FN}

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	2026-05-18T00:18:47.128027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa8aceb83fae69177d8bc5121a85a2b5bc5de836fef9947d89d23d7175f2b15

Aliases

arxiv: 1504.08016 · arxiv_version: 1504.08016v3 · doi: 10.48550/arxiv.1504.08016 · pith_short_12: PKUKZ24D7LTJ · pith_short_16: PKUKZ24D7LTJC56Y · pith_short_8: PKUKZ24D

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/PKUKZ24D7LTJC56YXRISDKC2FN \
  | 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: 7aa8aceb83fae69177d8bc5121a85a2b5bc5de836fef9947d89d23d7175f2b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9911dd4253ad9bc78c9a6597a725c7e51b607a933fbfeba1fe405e54632184b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-29T20:32:55Z",
    "title_canon_sha256": "0ab342f5a9d9e409ca30904c033cfd610c62f666d1c2fb692cfc3cab2b21bdb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08016",
    "kind": "arxiv",
    "version": 3
  }
}