Pith Number

pith:PBBAYGY5

pith:2015:PBBAYGY5HCUTMXESFQAUTOQXFE

not attested not anchored not stored refs pending

Bayes meets Krylov: preconditioning CGLS for underdetermined systems

Barbara Vantaggi, Daniela Calvetti, Erkki Somersalo, Francesca Pitolli

arxiv:1503.06844 v1 · 2015-03-23 · 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{PBBAYGY5HCUTMXESFQAUTOQXFE}

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	2026-05-18T02:20:29.942560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78420c1b1d38a9365c922c0149ba17293b5c6549ac9b1c7728322a8c3c23a31e

Aliases

arxiv: 1503.06844 · arxiv_version: 1503.06844v1 · doi: 10.48550/arxiv.1503.06844 · pith_short_12: PBBAYGY5HCUT · pith_short_16: PBBAYGY5HCUTMXES · pith_short_8: PBBAYGY5

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/PBBAYGY5HCUTMXESFQAUTOQXFE \
  | 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: 78420c1b1d38a9365c922c0149ba17293b5c6549ac9b1c7728322a8c3c23a31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fc4600f171ae64d4251437db6c1eec287b302bbc610858d66d1a1ef0a2b847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-23T21:34:25Z",
    "title_canon_sha256": "32d402be9d4639ef935cd46f82321e8a7b8f488542ab09de4fb3fc670136d063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06844",
    "kind": "arxiv",
    "version": 1
  }
}