Pith Number

pith:EPQKY5DQ

pith:2013:EPQKY5DQ3FRQQOQ34ZD2K6LPAV

not attested not anchored not stored refs pending

$C_0$-semigroups and resolvent operators approximated by Laguerre expansions

Luciano Abadias, Pedro J. Miana

arxiv:1311.7542 v2 · 2013-11-29 · math.FA · 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{EPQKY5DQ3FRQQOQ34ZD2K6LPAV}

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	2026-05-18T02:39:32.106658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e0ac7470d963083a1be647a5796f054f761c26842a9d90a9112e06c2695d81

Aliases

arxiv: 1311.7542 · arxiv_version: 1311.7542v2 · doi: 10.48550/arxiv.1311.7542 · pith_short_12: EPQKY5DQ3FRQ · pith_short_16: EPQKY5DQ3FRQQOQ3 · pith_short_8: EPQKY5DQ

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/EPQKY5DQ3FRQQOQ34ZD2K6LPAV \
  | 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: 23e0ac7470d963083a1be647a5796f054f761c26842a9d90a9112e06c2695d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421856acc42563765b04b8d9243d32b285783d2ec665e6ccabb9640d83fd3683",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-29T12:27:14Z",
    "title_canon_sha256": "dc54a664940e1a474bb077a2aa8c2f0f0f128a66abc5d7c5178b27e6bb4a0ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7542",
    "kind": "arxiv",
    "version": 2
  }
}