Pith Number

pith:4SX3Y7GT

pith:2016:4SX3Y7GTX35M6EZTIT4NAS6FGY

not attested not anchored not stored refs pending

The matrix function $e^{tA+B}$ is representable as the Laplace transform of a matrix measure

Victor Katsnelson

arxiv:1609.03870 v3 · 2016-09-13 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SX3Y7GTX35M6EZTIT4NAS6FGY}

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	2026-05-18T01:03:17.207792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4afbc7cd3befacf133344f8d04bc53606f4f36c91d0a1d756e1071c49c04eab

Aliases

arxiv: 1609.03870 · arxiv_version: 1609.03870v3 · doi: 10.48550/arxiv.1609.03870 · pith_short_12: 4SX3Y7GTX35M · pith_short_16: 4SX3Y7GTX35M6EZT · pith_short_8: 4SX3Y7GT

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/4SX3Y7GTX35M6EZTIT4NAS6FGY \
  | 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: e4afbc7cd3befacf133344f8d04bc53606f4f36c91d0a1d756e1071c49c04eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5d0ba0e1dc2b95d92dcb8de0c05f491a1ded25662a187449fd78c2e54f6ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-13T14:44:01Z",
    "title_canon_sha256": "b17578397763420856a9a41de4f2a1c8e5100a6373a8b4d3688559b0c7bcdcaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03870",
    "kind": "arxiv",
    "version": 3
  }
}