Pith Number

pith:FLX7RFOK

pith:2012:FLX7RFOKGHAR7XMNZDOHLEXPGI

not attested not anchored not stored refs pending

A weighted bilateral shift with cyclic square is supercyclic

Stanislav Shkarin

arxiv:1209.1458 v1 · 2012-09-07 · 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{FLX7RFOKGHAR7XMNZDOHLEXPGI}

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	2026-05-18T03:46:04.737141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aeff895ca31c11fdd8dc8dc7592ef323432514efb6f2c3e313c624e3c7884b8

Aliases

arxiv: 1209.1458 · arxiv_version: 1209.1458v1 · doi: 10.48550/arxiv.1209.1458 · pith_short_12: FLX7RFOKGHAR · pith_short_16: FLX7RFOKGHAR7XMN · pith_short_8: FLX7RFOK

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/FLX7RFOKGHAR7XMNZDOHLEXPGI \
  | 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: 2aeff895ca31c11fdd8dc8dc7592ef323432514efb6f2c3e313c624e3c7884b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd9db2407f99b2389ea2cb7f8861fa1ab33be598c4c3ca623746d34f16ae9e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-07T08:24:23Z",
    "title_canon_sha256": "f58b81fe7ba24c216db47b1361ea8e5b4d843c167c956ecc1a71ce6e8a6019c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1458",
    "kind": "arxiv",
    "version": 1
  }
}