Pith Number

pith:5BT3RQQK

pith:2014:5BT3RQQKUAYJ2JYQQB3NAPLJNN

not attested not anchored not stored refs pending

Majorization, 4G Theorem and Schr\"odinger perturbations

Karol Szczypkowski, Krzysztof Bogdan, Yana Butko

arxiv:1411.7907 v2 · 2014-11-28 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BT3RQQKUAYJ2JYQQB3NAPLJNN}

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	2026-05-18T00:41:13.311405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e867b8c20aa0309d27108076d03d696b734ce9840dd0f3834f6ce11fce7cc7df

Aliases

arxiv: 1411.7907 · arxiv_version: 1411.7907v2 · doi: 10.48550/arxiv.1411.7907 · pith_short_12: 5BT3RQQKUAYJ · pith_short_16: 5BT3RQQKUAYJ2JYQ · pith_short_8: 5BT3RQQK

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/5BT3RQQKUAYJ2JYQQB3NAPLJNN \
  | 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: e867b8c20aa0309d27108076d03d696b734ce9840dd0f3834f6ce11fce7cc7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c09af5999f70cdb9899c06a05dd804732720080abe47611baa25feda7e77241",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-28T15:34:20Z",
    "title_canon_sha256": "1b9b1a635de3cd64305fdfeb639dc6efaacdf54ccf974dd39b71be58727201a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7907",
    "kind": "arxiv",
    "version": 2
  }
}