Pith Number

pith:2DU2WKFY

pith:2012:2DU2WKFYQRRG76BGH7XKTACI6T

not attested not anchored not stored refs pending

Stability and Convergence of Product Formulas for Operator Matrices

Andr\'as B\'atkai, B\'alint Farkas, Klaus-Jochen Engel, Petra Csom\'os

arxiv:1207.1118 v2 · 2012-07-04 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DU2WKFYQRRG76BGH7XKTACI6T}

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	2026-05-18T03:39:41.605299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e9ab28b884626ff8263feea98048f4fe804a04d14725cbde5830186abd7331

Aliases

arxiv: 1207.1118 · arxiv_version: 1207.1118v2 · doi: 10.48550/arxiv.1207.1118 · pith_short_12: 2DU2WKFYQRRG · pith_short_16: 2DU2WKFYQRRG76BG · pith_short_8: 2DU2WKFY

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/2DU2WKFYQRRG76BGH7XKTACI6T \
  | 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: d0e9ab28b884626ff8263feea98048f4fe804a04d14725cbde5830186abd7331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82c7cd090fa72ab8ac33a182c670bbe365dfad42b76f41e57d3449668059502",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-04T20:23:21Z",
    "title_canon_sha256": "9c27a3f30d17d04d61770433464c977b2a5abee825395c975115dfcf7edd498c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1118",
    "kind": "arxiv",
    "version": 2
  }
}