Pith Number

pith:7OASPE6R

pith:2012:7OASPE6RC5GPWSBH4ET7IBE2SF

not attested not anchored not stored refs pending

Kato's theorem on the integration of non-autonomous linear evolution equations

Jochen Schmid, Marcel Griesemer

arxiv:1203.4700 v3 · 2012-03-21 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OASPE6RC5GPWSBH4ET7IBE2SF}

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	2026-05-18T02:49:18.700787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb812793d1174cfb4827e127f4049a91415baf35f8fc9cb5380f2dccfa327c03

Aliases

arxiv: 1203.4700 · arxiv_version: 1203.4700v3 · doi: 10.48550/arxiv.1203.4700 · pith_short_12: 7OASPE6RC5GP · pith_short_16: 7OASPE6RC5GPWSBH · pith_short_8: 7OASPE6R

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/7OASPE6RC5GPWSBH4ET7IBE2SF \
  | 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: fb812793d1174cfb4827e127f4049a91415baf35f8fc9cb5380f2dccfa327c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3888e591fdefe139f9aa9ca3ce6b0a9778724595c9b05bba9ff26371c11cc71d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-21T10:21:27Z",
    "title_canon_sha256": "fc6c394ff6f4248e06f1494ec2d5be98333486e79933358f56b153bd4958cd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4700",
    "kind": "arxiv",
    "version": 3
  }
}