Pith Number

pith:CQH7FW3Q

pith:2014:CQH7FW3QK4IZPONLIOPG5KDVVP

not attested not anchored not stored refs pending

A Note on Weak Hypercyclicity and Linear Fractional Composition Operator

Arman Shokrollahi

arxiv:1407.0082 v1 · 2014-07-01 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQH7FW3QK4IZPONLIOPG5KDVVP}

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	2026-05-18T02:48:35.269916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140ff2db70571197b9ab439e6ea875abc4c727f0284e4f47c162097f40b242cb

Aliases

arxiv: 1407.0082 · arxiv_version: 1407.0082v1 · doi: 10.48550/arxiv.1407.0082 · pith_short_12: CQH7FW3QK4IZ · pith_short_16: CQH7FW3QK4IZPONL · pith_short_8: CQH7FW3Q

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/CQH7FW3QK4IZPONLIOPG5KDVVP \
  | 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: 140ff2db70571197b9ab439e6ea875abc4c727f0284e4f47c162097f40b242cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d1257dd76f5541752d3eeb9e7dcc10e000ed5911d08d407c3e282362fb0691",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-01T00:18:02Z",
    "title_canon_sha256": "c5320d221840f9674af9349369a948b7ba3f9d9d8377d711c4fcc3945a2756f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0082",
    "kind": "arxiv",
    "version": 1
  }
}