Pith Number

pith:Q762HDVJ

pith:2014:Q762HDVJSZJK7XKRA3BKZM3Y72

not attested not anchored not stored refs pending

On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator

Andrei Lishanskii, Anton Baranov

arxiv:1401.1934 v1 · 2014-01-09 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q762HDVJSZJK7XKRA3BKZM3Y72}

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	2026-05-18T03:02:56.185993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fda38ea99652afdd5106c2acb378febd6776186d42a30a07c086298f116fd3

Aliases

arxiv: 1401.1934 · arxiv_version: 1401.1934v1 · doi: 10.48550/arxiv.1401.1934 · pith_short_12: Q762HDVJSZJK · pith_short_16: Q762HDVJSZJK7XKR · pith_short_8: Q762HDVJ

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/Q762HDVJSZJK7XKRA3BKZM3Y72 \
  | 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: 87fda38ea99652afdd5106c2acb378febd6776186d42a30a07c086298f116fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d364d1b285269297e9c1a0ba0eb399966e6177f3f56ded7ecd6f4a22735f9b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-09T09:26:03Z",
    "title_canon_sha256": "15a1de3f5c48c374b2614713ca33b13c57dee17a53a4033f93fda11cc5b712c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1934",
    "kind": "arxiv",
    "version": 1
  }
}