Pith Number

pith:WELPTZYA

pith:2014:WELPTZYA2DGOMRNARWOPKMPZX6

not attested not anchored not stored refs pending

An answer to a question of A. Lubin: The lifting problem for commuting subnormals

Jasang Yoon, Sang Hoon Lee, Woo Young Lee

arxiv:1406.6450 v3 · 2014-06-25 · 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{WELPTZYA2DGOMRNARWOPKMPZX6}

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	2026-05-18T01:32:43.781402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b116f9e700d0cce645a08d9cf531f9bf8e096eede8434285fc0243c33f0fdb47

Aliases

arxiv: 1406.6450 · arxiv_version: 1406.6450v3 · doi: 10.48550/arxiv.1406.6450 · pith_short_12: WELPTZYA2DGO · pith_short_16: WELPTZYA2DGOMRNA · pith_short_8: WELPTZYA

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/WELPTZYA2DGOMRNARWOPKMPZX6 \
  | 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: b116f9e700d0cce645a08d9cf531f9bf8e096eede8434285fc0243c33f0fdb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f3a8c719564c7a16e25708972d6bc21a811c7276bca86279c94fd2e9727d1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-06-25T03:43:14Z",
    "title_canon_sha256": "b41e327b788788587350117de636348890558e46e32523ea54be8b678538458a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6450",
    "kind": "arxiv",
    "version": 3
  }
}