Pith Number

pith:KSXJLF3E

pith:2019:KSXJLF3EO2UDOWJRCXOF2F2IFG

not attested not anchored not stored refs pending

On extensions of commuting tuples of symmetric and isometric operators

Sergey M. Zagorodnyuk

arxiv:1908.00794 v1 · 2019-08-02 · 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{KSXJLF3EO2UDOWJRCXOF2F2IFG}

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	2026-07-04T23:51:09.491080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ae95976476a837593115dc5d1748298902bc65aaf155d843c643858797e9e6

Aliases

arxiv: 1908.00794 · arxiv_version: 1908.00794v1 · doi: 10.48550/arxiv.1908.00794 · pith_short_12: KSXJLF3EO2UD · pith_short_16: KSXJLF3EO2UDOWJR · pith_short_8: KSXJLF3E

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/KSXJLF3EO2UDOWJRCXOF2F2IFG \
  | 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: 54ae95976476a837593115dc5d1748298902bc65aaf155d843c643858797e9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd803df672085e5d5f40a452b83dde3466d49756cd7e72dcf8cde58733feaf09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-02T10:43:22Z",
    "title_canon_sha256": "ff0072e6a02cb03e00db97667b3f182b29349b578cde3771f2f9077925032f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00794",
    "kind": "arxiv",
    "version": 1
  }
}