Pith Number

pith:NEQLBYW5

pith:2013:NEQLBYW5AQUPWBAIZEAAVVTGNJ

not attested not anchored not stored refs pending

A new proof of the Lie-Trotter-Kato formula in Hadamard spaces

Miroslav Bacak

arxiv:1301.6496 v3 · 2013-01-28 · 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{NEQLBYW5AQUPWBAIZEAAVVTGNJ}

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	2026-05-18T03:11:35.927910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6920b0e2dd0428fb0408c9000ad6666a461e4e1aa791336927fb8efa7927e58d

Aliases

arxiv: 1301.6496 · arxiv_version: 1301.6496v3 · doi: 10.48550/arxiv.1301.6496 · pith_short_12: NEQLBYW5AQUP · pith_short_16: NEQLBYW5AQUPWBAI · pith_short_8: NEQLBYW5

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/NEQLBYW5AQUPWBAIZEAAVVTGNJ \
  | 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: 6920b0e2dd0428fb0408c9000ad6666a461e4e1aa791336927fb8efa7927e58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e0ece5002b70a4d0accbcc00506c179041ff2e7b7a70370bc8f223eb3b4dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-28T10:03:44Z",
    "title_canon_sha256": "39c63e1623a58a0572b03087f6b72705284ba6d36d9a2998029a97cd35c8b8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6496",
    "kind": "arxiv",
    "version": 3
  }
}