Pith Number

pith:7VOSCZKM

pith:2009:7VOSCZKM5N5UOQ5N2QGUQHPYW5

not attested not anchored not stored refs pending

A fast randomized algorithm for orthogonal projection

Mark Tygert, Vladimir Rokhlin

arxiv:0912.1135 v2 · 2009-12-06 · cs.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{7VOSCZKM5N5UOQ5N2QGUQHPYW5}

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	2026-05-18T04:21:21.562162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5d21654ceb7b4743add40d481df8b74b83d5256e451f99610a932f6182d698

Aliases

arxiv: 0912.1135 · arxiv_version: 0912.1135v2 · doi: 10.48550/arxiv.0912.1135 · pith_short_12: 7VOSCZKM5N5U · pith_short_16: 7VOSCZKM5N5UOQ5N · pith_short_8: 7VOSCZKM

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/7VOSCZKM5N5UOQ5N2QGUQHPYW5 \
  | 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: fd5d21654ceb7b4743add40d481df8b74b83d5256e451f99610a932f6182d698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2896040d3d3a306a6a0a44f8c53d51938adaf4ae5b9c49f51fad1ff852a67d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2009-12-06T21:02:14Z",
    "title_canon_sha256": "84e727dff718efb8f059f7f66e09a6cbb35ae2bd23d9bd8790aef3d0c1443fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1135",
    "kind": "arxiv",
    "version": 2
  }
}