Pith Number

pith:WHZBPOHD

pith:2010:WHZBPOHDQIET4NSGQ4CEQG3IKH

not attested not anchored not stored refs pending

A Dimension Reduction Scheme for the Computation of Optimal Unions of Subspaces

Akram Aldroubi, Carlos Cabrelli, Magal\'i Anastasio, Ursula Molter

arxiv:1008.2804 v2 · 2010-08-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHZBPOHDQIET4NSGQ4CEQG3IKH}

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	2026-05-18T04:31:51.452562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f217b8e382093e36468704481b6851fef9c802fda22377633402f4fdcb5513

Aliases

arxiv: 1008.2804 · arxiv_version: 1008.2804v2 · doi: 10.48550/arxiv.1008.2804 · pith_short_12: WHZBPOHDQIET · pith_short_16: WHZBPOHDQIET4NSG · pith_short_8: WHZBPOHD

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/WHZBPOHDQIET4NSGQ4CEQG3IKH \
  | 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: b1f217b8e382093e36468704481b6851fef9c802fda22377633402f4fdcb5513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1247349d46a0e59d6efd5debd6abfaa856fc0b4380504c286559aafe37753297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-08-17T02:04:28Z",
    "title_canon_sha256": "535e26d8e5fed4514af774eafac53dce4be3778ca5790a08278b1509fca7f1e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2804",
    "kind": "arxiv",
    "version": 2
  }
}