Pith Number

pith:QRZ3YIPA

pith:2017:QRZ3YIPAIHGDDYXY3UKNEO7MNE

not attested not anchored not stored refs pending

Computing Lower Rank Approximations of Matrix Polynomials

George Labahn, Joseph Haraldson, Mark Giesbrecht

arxiv:1712.04007 v1 · 2017-12-11 · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRZ3YIPAIHGDDYXY3UKNEO7MNE}

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	2026-05-18T00:28:09.612401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8473bc21e041cc31e2f8dd14d23bec692909dd13b534923bdf0220e5102f84ae

Aliases

arxiv: 1712.04007 · arxiv_version: 1712.04007v1 · doi: 10.48550/arxiv.1712.04007 · pith_short_12: QRZ3YIPAIHGD · pith_short_16: QRZ3YIPAIHGDDYXY · pith_short_8: QRZ3YIPA

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/QRZ3YIPAIHGDDYXY3UKNEO7MNE \
  | 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: 8473bc21e041cc31e2f8dd14d23bec692909dd13b534923bdf0220e5102f84ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ba7e3e6908e11804a7701b9838d2987eeeecb14cc46e55eb06dbe9d462fbf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2017-12-11T20:30:21Z",
    "title_canon_sha256": "8a337d068bb4fa83400301effe948258053d786121986441718312b909247e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04007",
    "kind": "arxiv",
    "version": 1
  }
}