Pith Number

pith:2LJ3QDHF

pith:2017:2LJ3QDHFUGG5LMECFDRCGQ2ZXV

not attested not anchored not stored refs pending

Convergence of Positive Operator Semigroups

Jochen Gl\"uck, Moritz Gerlach

arxiv:1705.01587 v2 · 2017-05-03 · 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{2LJ3QDHFUGG5LMECFDRCGQ2ZXV}

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	2026-05-17T23:55:29.981968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d3b80ce5a18dd5b08228e2234359bd645d938cc5d6890b84965d7e393b9463

Aliases

arxiv: 1705.01587 · arxiv_version: 1705.01587v2 · doi: 10.48550/arxiv.1705.01587 · pith_short_12: 2LJ3QDHFUGG5 · pith_short_16: 2LJ3QDHFUGG5LMEC · pith_short_8: 2LJ3QDHF

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/2LJ3QDHFUGG5LMECFDRCGQ2ZXV \
  | 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: d2d3b80ce5a18dd5b08228e2234359bd645d938cc5d6890b84965d7e393b9463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71a11eda28a0dbaf35a45737639a4d48eefb81160a3192a0b6f7f3c39589d6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-03T19:30:31Z",
    "title_canon_sha256": "7ff176270fb35fd236fc30049eb429392c0b07ee8cd9e654b8b958a9444c8400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01587",
    "kind": "arxiv",
    "version": 2
  }
}