Pith Number

pith:Z5T7WRMV

pith:2017:Z5T7WRMVQWRWCVAZX46OCZOOLB

not attested not anchored not stored refs pending

Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product

Akira Imakura, Yusaku Yamamoto

arxiv:1703.10440 v1 · 2017-03-30 · 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{Z5T7WRMVQWRWCVAZX46OCZOOLB}

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	2026-05-18T00:47:34.675718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf67fb459585a3615419bf3ce165ce585425d1a870a0e1e24f58561cdb80e0e4

Aliases

arxiv: 1703.10440 · arxiv_version: 1703.10440v1 · doi: 10.48550/arxiv.1703.10440 · pith_short_12: Z5T7WRMVQWRW · pith_short_16: Z5T7WRMVQWRWCVAZ · pith_short_8: Z5T7WRMV

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/Z5T7WRMVQWRWCVAZX46OCZOOLB \
  | 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: cf67fb459585a3615419bf3ce165ce585425d1a870a0e1e24f58561cdb80e0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7bfdec0863e0c63b611e5663fe22780b3d472dcd14e3351f62498d0c1640a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-30T12:42:13Z",
    "title_canon_sha256": "33b31ead41180322cda7101b9407c06d78f1a92c0fb5d7b0cf04e1b209860dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10440",
    "kind": "arxiv",
    "version": 1
  }
}