Pith Number

pith:67X2VK5F

pith:2016:67X2VK5FKITFMFRWHEVBD66UIX

not attested not anchored not stored refs pending

Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems

Artur Stephan, Hagen Neidhardt, Valentin A. Zagrebnov

arxiv:1612.06147 v1 · 2016-12-19 · 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{67X2VK5FKITFMFRWHEVBD66UIX}

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	2026-05-18T00:54:45.822223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7efaaaba55226561636392a11fbd445df40ed874e587d705a52ec375a36fc03

Aliases

arxiv: 1612.06147 · arxiv_version: 1612.06147v1 · doi: 10.48550/arxiv.1612.06147 · pith_short_12: 67X2VK5FKITF · pith_short_16: 67X2VK5FKITFMFRW · pith_short_8: 67X2VK5F

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/67X2VK5FKITFMFRWHEVBD66UIX \
  | 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: f7efaaaba55226561636392a11fbd445df40ed874e587d705a52ec375a36fc03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbd6ce53e9d4b5b2f44c7d15aeeb2611d03c48b8b22deec1b7b5360d7bb30d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-19T12:05:04Z",
    "title_canon_sha256": "721cce83f72eb67430ebefbdb459407d7c67a80b34517da822c0892a15916f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06147",
    "kind": "arxiv",
    "version": 1
  }
}