Pith Number

pith:V55ANDVA

pith:2015:V55ANDVA46NTS3ZIUDYKVWLBGB

not attested not anchored not stored refs pending

A bounded transform approach to self-adjoint operators: Functional calculus and affiliated von Neumann algebras

Christian Budde, Klaas Landsman

arxiv:1508.06772 v1 · 2015-08-27 · math.OA · 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{V55ANDVA46NTS3ZIUDYKVWLBGB}

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	2026-05-18T01:04:45.752169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7a068ea0e79b396f28a0f0aad961306140c80e3dde034143b6181a451573d5

Aliases

arxiv: 1508.06772 · arxiv_version: 1508.06772v1 · doi: 10.48550/arxiv.1508.06772 · pith_short_12: V55ANDVA46NT · pith_short_16: V55ANDVA46NTS3ZI · pith_short_8: V55ANDVA

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/V55ANDVA46NTS3ZIUDYKVWLBGB \
  | 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: af7a068ea0e79b396f28a0f0aad961306140c80e3dde034143b6181a451573d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa517a9d1a79418b5b0cb421aaaceeaabfdfd0f3706e35ef1dd84b61fa91ccbc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-08-27T09:30:02Z",
    "title_canon_sha256": "bdf20f60691e279c2d6232b54f11fe28da89fcf7c05320a2d275cf6154370e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06772",
    "kind": "arxiv",
    "version": 1
  }
}