Pith Number

pith:UGCID5D6

pith:2017:UGCID5D6LPIGVYT4D76K5UFZ3G

not attested not anchored not stored refs pending

Completely bounded maps and invariant subspaces

I. G. Todorov, L. Turowska, M. Alaghmandan

arxiv:1709.00118 v2 · 2017-09-01 · 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{UGCID5D6LPIGVYT4D76K5UFZ3G}

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	2026-05-17T23:55:29.863305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18481f47e5bd06ae27c1ffcaed0b9d9bdde8f190ae4cbc0b7f2cdc5f738de71

Aliases

arxiv: 1709.00118 · arxiv_version: 1709.00118v2 · doi: 10.48550/arxiv.1709.00118 · pith_short_12: UGCID5D6LPIG · pith_short_16: UGCID5D6LPIGVYT4 · pith_short_8: UGCID5D6

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/UGCID5D6LPIGVYT4D76K5UFZ3G \
  | 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: a18481f47e5bd06ae27c1ffcaed0b9d9bdde8f190ae4cbc0b7f2cdc5f738de71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9d233e760fd48f1f46a3e0f0892004a1c3c34b8c64a1cb702a635bb10c827e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-01T00:44:13Z",
    "title_canon_sha256": "046c1a02f7188bde14cf1cc789d1c150b15527d14245e0c1c08913448272264c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00118",
    "kind": "arxiv",
    "version": 2
  }
}