Pith Number

pith:A5CKU3CS

pith:2011:A5CKU3CS3OVCY6IKSC3CI5RQ3F

not attested not anchored not stored refs pending

Sharpening the norm bound in the subspace perturbation theory

Alexander K. Motovilov, Sergio Albeverio

arxiv:1112.0149 v3 · 2011-12-01 · math.SP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5CKU3CS3OVCY6IKSC3CI5RQ3F}

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	2026-05-18T03:17:57.537418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0744aa6c52dbaa2c790a90b6247630d9702e45502a508f008fc5c931f3be08a8

Aliases

arxiv: 1112.0149 · arxiv_version: 1112.0149v3 · doi: 10.48550/arxiv.1112.0149 · pith_short_12: A5CKU3CS3OVC · pith_short_16: A5CKU3CS3OVCY6IK · pith_short_8: A5CKU3CS

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/A5CKU3CS3OVCY6IKSC3CI5RQ3F \
  | 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: 0744aa6c52dbaa2c790a90b6247630d9702e45502a508f008fc5c931f3be08a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43fbbf299ef62d41234fc06e90cc1f1b49d08e192aab1e6bfd4515782950a9e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-01T11:59:52Z",
    "title_canon_sha256": "c4d149bfd7bf169fd0036a7aba18a91bcb0ec078d4cb7ced8a6095bba7d8a441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0149",
    "kind": "arxiv",
    "version": 3
  }
}