Pith Number

pith:H2OE2DXW

pith:2013:H2OE2DXWDWAHF7CWUF2X5V3H5I

not attested not anchored not stored refs pending

A class of Toeplitz operators with hypercyclic subspaces

Andrei Lishanskii

arxiv:1309.7627 v2 · 2013-09-29 · 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{H2OE2DXWDWAHF7CWUF2X5V3H5I}

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	2026-05-18T03:02:59.089831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9c4d0ef61d8072fc56a1757ed767ea1f618fce48756206b34763524230a00b

Aliases

arxiv: 1309.7627 · arxiv_version: 1309.7627v2 · doi: 10.48550/arxiv.1309.7627 · pith_short_12: H2OE2DXWDWAH · pith_short_16: H2OE2DXWDWAHF7CW · pith_short_8: H2OE2DXW

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/H2OE2DXWDWAHF7CWUF2X5V3H5I \
  | 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: 3e9c4d0ef61d8072fc56a1757ed767ea1f618fce48756206b34763524230a00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf59c0667713e2f17817d2bd070c731f8095ef84deadef07bc9c44558fbab7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-29T17:13:42Z",
    "title_canon_sha256": "a3443c4582c76270676d2df0680bbfac654401eb14fac397029f361ccca2818f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7627",
    "kind": "arxiv",
    "version": 2
  }
}