Pith Number

pith:XRVOZGSZ

pith:2012:XRVOZGSZ6UJTKLTUAWQUA4I2NR

not attested not anchored not stored refs pending

2-norm error bounds and estimates for Lanczos approximations to linear systems and rational matrix functions

A. Frommer, H. Rittich, K. Kahl, Th. Lippert

arxiv:1204.5052 v2 · 2012-04-23 · hep-lat · 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{XRVOZGSZ6UJTKLTUAWQUA4I2NR}

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	2026-05-18T02:18:22.382791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc6aec9a59f513352e7405a140711a6c58b5c381e7fb0f834a352c5cc5a3e2f8

Aliases

arxiv: 1204.5052 · arxiv_version: 1204.5052v2 · doi: 10.48550/arxiv.1204.5052 · pith_short_12: XRVOZGSZ6UJT · pith_short_16: XRVOZGSZ6UJTKLTU · pith_short_8: XRVOZGSZ

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/XRVOZGSZ6UJTKLTUAWQUA4I2NR \
  | 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: bc6aec9a59f513352e7405a140711a6c58b5c381e7fb0f834a352c5cc5a3e2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808c82dde637cdb4385a390f06a6111518fd66792a91a2588378ffc1aa7e2c64",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2012-04-23T13:08:24Z",
    "title_canon_sha256": "fa74d5159cf5da3f93abf7e41a6b79c2d2d25d240be7b47e4e44ecca0e5babce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5052",
    "kind": "arxiv",
    "version": 2
  }
}