Pith Number

pith:DAV4WEII

pith:2016:DAV4WEIII57SYD46GC6J7YHZ6V

not attested not anchored not stored refs pending

Fuglede-Putnam theorem for locally measurable operators

A. Ber, D. Zanin, F. Sukochev, V. Chilin

arxiv:1612.04492 v1 · 2016-12-14 · 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{DAV4WEIII57SYD46GC6J7YHZ6V}

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	2026-05-18T00:54:59.409228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182bcb1108477f2c0f9e30bc9fe0f9f5733619296db6bb5579b516e35c252fa4

Aliases

arxiv: 1612.04492 · arxiv_version: 1612.04492v1 · doi: 10.48550/arxiv.1612.04492 · pith_short_12: DAV4WEIII57S · pith_short_16: DAV4WEIII57SYD46 · pith_short_8: DAV4WEII

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/DAV4WEIII57SYD46GC6J7YHZ6V \
  | 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: 182bcb1108477f2c0f9e30bc9fe0f9f5733619296db6bb5579b516e35c252fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7d8dc158d747db0cb7edf8a2e5a6376e032ea84f05ff42b0480de45942e1ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-14T05:27:45Z",
    "title_canon_sha256": "3984f195a409e44f44df8437918dc07f2e0c6c8a1ff6addbfcbcbaf1f6cb930c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04492",
    "kind": "arxiv",
    "version": 1
  }
}