Pith Number

pith:LJIJRUOW

pith:2011:LJIJRUOW47G3HJY5GNSPYPCUMR

not attested not anchored not stored refs pending

Cyclicity in rank-one perturbation problems

Alexei Poltoratski, Constanze Liaw, Evgeny Abakumov

arxiv:1111.3095 v2 · 2011-11-14 · 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{LJIJRUOW47G3HJY5GNSPYPCUMR}

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	2026-05-18T02:55:20.743369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5098d1d6e7cdb3a71d3364fc3c546455f5c39ad1ecf2925a0008c894d0c616

Aliases

arxiv: 1111.3095 · arxiv_version: 1111.3095v2 · doi: 10.48550/arxiv.1111.3095 · pith_short_12: LJIJRUOW47G3 · pith_short_16: LJIJRUOW47G3HJY5 · pith_short_8: LJIJRUOW

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/LJIJRUOW47G3HJY5GNSPYPCUMR \
  | 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: 5a5098d1d6e7cdb3a71d3364fc3c546455f5c39ad1ecf2925a0008c894d0c616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0dd964859eb5ff6059a3c3076e8ddc44447c22550b41553e6283069fc589b3c",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-14T04:06:52Z",
    "title_canon_sha256": "a243656f39b98f4af1db987f4cf9249238b72536076ed9c576b997b8b974ded5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3095",
    "kind": "arxiv",
    "version": 2
  }
}