Pith Number

pith:LT6SM5QT

pith:2015:LT6SM5QT6AJM5LNVFUDH2ICZIT

not attested not anchored not stored refs pending

On discrete subordination of power bounded and Ritt operators

Alexander Gomilko, Yuri Tomilov

arxiv:1504.00563 v2 · 2015-04-02 · 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{LT6SM5QT6AJM5LNVFUDH2ICZIT}

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	2026-05-18T01:04:01.355076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfd267613f012ceadb52d067d205944fccbcb86eb29601070105618e2080ee8

Aliases

arxiv: 1504.00563 · arxiv_version: 1504.00563v2 · doi: 10.48550/arxiv.1504.00563 · pith_short_12: LT6SM5QT6AJM · pith_short_16: LT6SM5QT6AJM5LNV · pith_short_8: LT6SM5QT

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/LT6SM5QT6AJM5LNVFUDH2ICZIT \
  | 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: 5cfd267613f012ceadb52d067d205944fccbcb86eb29601070105618e2080ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5486ec74403f645590ab2fdad08924620ca1f1aab7e370d5dfd960d9f48592fd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-02T14:05:41Z",
    "title_canon_sha256": "266a264c628e2022908d3637229c73b4e112fdec9b3fa43f0f9650166c5f6e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00563",
    "kind": "arxiv",
    "version": 2
  }
}