Pith Number

pith:WGWNMVSA

pith:2018:WGWNMVSAKZIJL4ACSR562GGA7S

not attested not anchored not stored refs pending

Involutive operator algebras

David P. Blecher, Zhenhua Wang

arxiv:1809.02384 v2 · 2018-09-07 · math.OA · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGWNMVSAKZIJL4ACSR562GGA7S}

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	2026-05-17T23:53:42.088898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1acd65640565095f002947bed18c0fcbfc927a33b47a9c5a0457c9e73355f61

Aliases

arxiv: 1809.02384 · arxiv_version: 1809.02384v2 · doi: 10.48550/arxiv.1809.02384 · pith_short_12: WGWNMVSAKZIJ · pith_short_16: WGWNMVSAKZIJL4AC · pith_short_8: WGWNMVSA

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/WGWNMVSAKZIJL4ACSR562GGA7S \
  | 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: b1acd65640565095f002947bed18c0fcbfc927a33b47a9c5a0457c9e73355f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c414115b279cb2f5734f0183fadd85740c53a36fdcb2cef20dc121d4cad2dcf6",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-07T10:02:41Z",
    "title_canon_sha256": "1a9c6e003504465db25943b089fde43f30e19be12a43266ec4485046c63e7151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02384",
    "kind": "arxiv",
    "version": 2
  }
}