Pith Number

pith:CP6MUNUJ

pith:2016:CP6MUNUJY5B3NMFTMR3YJ6CX4P

not attested not anchored not stored refs pending

The Regularization Theory of the Krylov Iterative Solvers LSQR, CGLS, LSMR and CGME For Linear Discrete Ill-Posed Problems

Zhongxiao Jia

arxiv:1608.05907 v2 · 2016-08-21 · 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{CP6MUNUJY5B3NMFTMR3YJ6CX4P}

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	2026-05-18T01:00:33.775993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fcca3689c743b6b0b3647784f857e3f09a7f6238f5838264dc56852eebfc27

Aliases

arxiv: 1608.05907 · arxiv_version: 1608.05907v2 · doi: 10.48550/arxiv.1608.05907 · pith_short_12: CP6MUNUJY5B3 · pith_short_16: CP6MUNUJY5B3NMFT · pith_short_8: CP6MUNUJ

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/CP6MUNUJY5B3NMFTMR3YJ6CX4P \
  | 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: 13fcca3689c743b6b0b3647784f857e3f09a7f6238f5838264dc56852eebfc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ad9de671891084a29c78f24c3dcb4876aedbc1d19881f085e7c68e1d437b1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-21T08:32:17Z",
    "title_canon_sha256": "9689fb8d717f41d3aedccdb85967818bb3ae1224650bcf50904b570c865b6338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05907",
    "kind": "arxiv",
    "version": 2
  }
}