Pith Number

pith:J7D2YQ45

pith:2012:J7D2YQ45EDIRA2XGHXGVG5G4XV

not attested not anchored not stored refs pending

A framework for deflated and augmented Krylov subspace methods

Andr\'e Gaul, J\"org Liesen, Martin H. Gutknecht, Reinhard Nabben

arxiv:1206.1506 v2 · 2012-06-07 · 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{J7D2YQ45EDIRA2XGHXGVG5G4XV}

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	2026-05-18T01:29:59.947998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc7ac439d20d1106ae63dcd5374dcbd51fc5bd1f7b8c199ff3fb485413497af

Aliases

arxiv: 1206.1506 · arxiv_version: 1206.1506v2 · doi: 10.48550/arxiv.1206.1506 · pith_short_12: J7D2YQ45EDIR · pith_short_16: J7D2YQ45EDIRA2XG · pith_short_8: J7D2YQ45

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/J7D2YQ45EDIRA2XGHXGVG5G4XV \
  | 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: 4fc7ac439d20d1106ae63dcd5374dcbd51fc5bd1f7b8c199ff3fb485413497af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43bfe7f790ceae6109758fbed7f8331f1b080934124a94499ce8247db7e91b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-07T14:30:03Z",
    "title_canon_sha256": "f3bc1f5648cb3472ba34f37bbb96426110e32999b05a2d251da0f81baaebada8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1506",
    "kind": "arxiv",
    "version": 2
  }
}