Pith Number

pith:A6WGE32A

pith:2018:A6WGE32AZDNVJH5YS3YXM4VJEP

not attested not anchored not stored refs pending

Systems of two subspases in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

arxiv:1810.05397 v1 · 2018-10-12 · 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{A6WGE32AZDNVJH5YS3YXM4VJEP}

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	2026-05-18T00:03:30.716931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ac626f40c8db549fb896f17672a923ccef207aade1e54f6f3b3bd25d20c18d

Aliases

arxiv: 1810.05397 · arxiv_version: 1810.05397v1 · doi: 10.48550/arxiv.1810.05397 · pith_short_12: A6WGE32AZDNV · pith_short_16: A6WGE32AZDNVJH5Y · pith_short_8: A6WGE32A

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/A6WGE32AZDNVJH5YS3YXM4VJEP \
  | 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: 07ac626f40c8db549fb896f17672a923ccef207aade1e54f6f3b3bd25d20c18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5736463bd026b89a22a330f6bf8fef594214bd0a9c6fe23d894f5194f9ebd330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-12T08:19:28Z",
    "title_canon_sha256": "9935e7046267c0926c5ed83aa3c19af8e4b95b3ce8d704290cc21b5f1368acec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05397",
    "kind": "arxiv",
    "version": 1
  }
}