Pith Number

pith:4KOCY3ZF

pith:2023:4KOCY3ZF3NZ7LL4RPAP5UQEHKI

not attested not anchored not stored refs pending

Hypercyclic shifts on lattice graphs

Andrei Lishanskii, Anton Baranov, Dimitris Papathanasiou

arxiv:2312.13934 v2 · 2023-12-21 · 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{4KOCY3ZF3NZ7LL4RPAP5UQEHKI}

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

Hypercyclic algebras for weighted shifts on trees

Receipt and verification

First computed	2026-07-05T09:04:31.034470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29c2c6f25db73f5af91781fda4087521e7cdd0a85f63741c85c8657f8c18273

Aliases

arxiv: 2312.13934 · arxiv_version: 2312.13934v2 · doi: 10.48550/arxiv.2312.13934 · pith_short_12: 4KOCY3ZF3NZ7 · pith_short_16: 4KOCY3ZF3NZ7LL4R · pith_short_8: 4KOCY3ZF

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/4KOCY3ZF3NZ7LL4RPAP5UQEHKI \
  | 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: e29c2c6f25db73f5af91781fda4087521e7cdd0a85f63741c85c8657f8c18273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f63a134600dc2f414c53f47252ab0fa2e223595dd8cfbf7746d4c4353031651",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-21T15:28:16Z",
    "title_canon_sha256": "124b96dcb28b6e51ea9aa6cf2a802eb66d587687b128bb8603d0f3573b001e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13934",
    "kind": "arxiv",
    "version": 2
  }
}