Pith Number

pith:GG57GNME

pith:2016:GG57GNMEPLRN6IRJSQEHPBY7FF

not attested not anchored not stored refs pending

A data scalable augmented Lagrangian KKT preconditioner for large scale inverse problems

Nick Alger, Omar Ghattas, Tan Bui-Thanh, Umberto Villa

arxiv:1607.03556 v2 · 2016-07-13 · 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{GG57GNMEPLRN6IRJSQEHPBY7FF}

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	2026-05-18T00:38:46.595694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bbf335847ae2df2229940877871f2964ab001e78206b522545d581e923f726

Aliases

arxiv: 1607.03556 · arxiv_version: 1607.03556v2 · doi: 10.48550/arxiv.1607.03556 · pith_short_12: GG57GNMEPLRN · pith_short_16: GG57GNMEPLRN6IRJ · pith_short_8: GG57GNME

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/GG57GNMEPLRN6IRJSQEHPBY7FF \
  | 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: 31bbf335847ae2df2229940877871f2964ab001e78206b522545d581e923f726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7f71ea3a60904b82e3f3c911cb72cc8587e22717ce8ae7b796ee9cf2097dba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-13T01:05:30Z",
    "title_canon_sha256": "2b95281183ea04f17ad64753b6ae97e0be7421f02a9153278aad740949cf55e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03556",
    "kind": "arxiv",
    "version": 2
  }
}