Pith Number

pith:NBMM4QUD

pith:2019:NBMM4QUDTO5BHHCT3V6XHP5OON

not attested not anchored not stored refs pending

A Beurling Theorem for almost-invariant subspaces of the shift operator

Eva A. Gallardo-Guti\'errez, Isabelle Chalendar, Jonathan R. Partington

arxiv:1905.06652 v2 · 2019-05-16 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBMM4QUDTO5BHHCT3V6XHP5OON}

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	2026-05-17T23:45:51.481411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6858ce42839bba139c53dd7d73bfae73717e5f38baa7b3efdb8a1ca568993a5d

Aliases

arxiv: 1905.06652 · arxiv_version: 1905.06652v2 · doi: 10.48550/arxiv.1905.06652 · pith_short_12: NBMM4QUDTO5B · pith_short_16: NBMM4QUDTO5BHHCT · pith_short_8: NBMM4QUD

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/NBMM4QUDTO5BHHCT3V6XHP5OON \
  | 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: 6858ce42839bba139c53dd7d73bfae73717e5f38baa7b3efdb8a1ca568993a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e112aace6b9095f2f5d0476567a915c8f96825f985f6d849641415935aae5efe",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-16T10:52:19Z",
    "title_canon_sha256": "5673e23621fd9c01a7e8a8e8581b0e5a5ffa00c84b829868386a2180ff22d601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06652",
    "kind": "arxiv",
    "version": 2
  }
}