Pith Number

pith:QWZGI63J

pith:2016:QWZGI63J6CCIV3RZTDHOEJT4WH

not attested not anchored not stored refs pending

A characterization of singular packing subspaces with an application to limit-periodic operators

C\'esar R. de Oliveira, Silas L. Carvalho

arxiv:1604.08513 v1 · 2016-04-28 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWZGI63J6CCIV3RZTDHOEJT4WH}

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	2026-05-18T01:16:03.583816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b2647b69f0848aee3998cee2267cb1d85cd625d0cff5619f4f3b4f6c1d15c5

Aliases

arxiv: 1604.08513 · arxiv_version: 1604.08513v1 · doi: 10.48550/arxiv.1604.08513 · pith_short_12: QWZGI63J6CCI · pith_short_16: QWZGI63J6CCIV3RZ · pith_short_8: QWZGI63J

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/QWZGI63J6CCIV3RZTDHOEJT4WH \
  | 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: 85b2647b69f0848aee3998cee2267cb1d85cd625d0cff5619f4f3b4f6c1d15c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd2255a5e834114aaeabeec030819b49b27a04832d14e567fa7f090b3847af3",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-28T16:55:06Z",
    "title_canon_sha256": "47f1498a4773c7a87880df835c8fdf39ebca45e3457b1c79d9328b2b1e1b70bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08513",
    "kind": "arxiv",
    "version": 1
  }
}