Pith Number

pith:4P2BQ5W3

pith:2019:4P2BQ5W3K7JCHBNFFGS2J4O4VR

not attested not anchored not stored refs pending

Trotter product formula and linear evolution equations on Hilbert spaces On the occasion of the 100th birthday of Tosio Kato

Artur Stephan, Hagen Neidhardt, Valentin Zagrebnov (I2M)

arxiv:1901.02205 v1 · 2019-01-08 · 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{4P2BQ5W3K7JCHBNFFGS2J4O4VR}

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	2026-05-17T23:56:43.777574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f41876db57d22385a529a5a4f1dcac53b42d9e68a2bb80e6c2e153e71e5389

Aliases

arxiv: 1901.02205 · arxiv_version: 1901.02205v1 · doi: 10.48550/arxiv.1901.02205 · pith_short_12: 4P2BQ5W3K7JC · pith_short_16: 4P2BQ5W3K7JCHBNF · pith_short_8: 4P2BQ5W3

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/4P2BQ5W3K7JCHBNFFGS2J4O4VR \
  | 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: e3f41876db57d22385a529a5a4f1dcac53b42d9e68a2bb80e6c2e153e71e5389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1186be49936b4234ae18c37730ef77d54d22a24e1d5346694e6177d52ceb37c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-08T08:39:54Z",
    "title_canon_sha256": "5de9eb783b620b89d6136697918fc9ed1fcb557f230a51d0c13a44ae09e2abb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02205",
    "kind": "arxiv",
    "version": 1
  }
}