Pith Number

pith:K7ZNG3U5

pith:2015:K7ZNG3U5SYAVCKJLZCOWYZHVSV

not attested not anchored not stored refs pending

A note on approximation of operator semigroups

Jochen Gl\"uck

arxiv:1511.02329 v2 · 2015-11-07 · 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{K7ZNG3U5SYAVCKJLZCOWYZHVSV}

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	2026-05-18T01:22:00.597049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f2d36e9d960151292bc89d6c64f595683f87c778876a0d8323f7ab10100b45

Aliases

arxiv: 1511.02329 · arxiv_version: 1511.02329v2 · doi: 10.48550/arxiv.1511.02329 · pith_short_12: K7ZNG3U5SYAV · pith_short_16: K7ZNG3U5SYAVCKJL · pith_short_8: K7ZNG3U5

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/K7ZNG3U5SYAVCKJLZCOWYZHVSV \
  | 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: 57f2d36e9d960151292bc89d6c64f595683f87c778876a0d8323f7ab10100b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da2115e51fc1d8440c24b0059e6c2ea89f4c4e0aa4ac4c2e5d63b582a0dcfdb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-07T09:17:34Z",
    "title_canon_sha256": "6361abb66ee2b299d157ddc4d0edfa732a066d57a1a2a6188eadf09ee6a9c1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02329",
    "kind": "arxiv",
    "version": 2
  }
}