Pith Number

pith:G52TZIL2

pith:2015:G52TZIL2NHTT4ZR44FLX3BRPQM

not attested not anchored not stored refs pending

OPINS: An Orthogonally Projected Implicit Null-space Method for Singular and Nonsingular Saddle-point Systems

Cao Lu, Tristan Delaney, Xiangmin Jiao

arxiv:1511.06845 v1 · 2015-11-21 · 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{G52TZIL2NHTT4ZR44FLX3BRPQM}

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	2026-05-18T01:26:17.377504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37753ca17a69e73e663ce1577d862f831f8f36e90eb2ab46576274deef770641

Aliases

arxiv: 1511.06845 · arxiv_version: 1511.06845v1 · doi: 10.48550/arxiv.1511.06845 · pith_short_12: G52TZIL2NHTT · pith_short_16: G52TZIL2NHTT4ZR4 · pith_short_8: G52TZIL2

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/G52TZIL2NHTT4ZR44FLX3BRPQM \
  | 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: 37753ca17a69e73e663ce1577d862f831f8f36e90eb2ab46576274deef770641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da06c691f12fb882ebb9bdf48dbe1422026ad8740ea48eb246236a5330b6fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-21T06:35:18Z",
    "title_canon_sha256": "14d2f3e72d9416c2fd7c431517da6c25386dcff37ee97db9821291590df05f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06845",
    "kind": "arxiv",
    "version": 1
  }
}