Pith Number

pith:4ULALJ25

pith:2023:4ULALJ25W5PTTVV5ZN2XE3BFGT

not attested not anchored not stored refs pending

On the invariant subspace problem in Hilbert spaces

Per H. Enflo

arxiv:2305.15442 v2 · 2023-05-24 · 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{4ULALJ25W5PTTVV5ZN2XE3BFGT}

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.

Cited by

1 paper in Pith

Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$

Receipt and verification

First computed	2026-07-05T08:04:58.610153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51605a75db75f39d6bdcb75726c2534d082bc38b675ec1f9fdd9fffd897eef2

Aliases

arxiv: 2305.15442 · arxiv_version: 2305.15442v2 · doi: 10.48550/arxiv.2305.15442 · pith_short_12: 4ULALJ25W5PT · pith_short_16: 4ULALJ25W5PTTVV5 · pith_short_8: 4ULALJ25

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/4ULALJ25W5PTTVV5ZN2XE3BFGT \
  | 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: e51605a75db75f39d6bdcb75726c2534d082bc38b675ec1f9fdd9fffd897eef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f5a5d6151defd1011767e9277779a7ee6bc5fe64e91d82f88b3ed73a402e7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-05-24T05:21:46Z",
    "title_canon_sha256": "88de8ab81fae19a153a4d9d37562fc97742ad051b0a27e8fc7a61ae816bc0c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15442",
    "kind": "arxiv",
    "version": 2
  }
}