Pith Number

pith:QG2XWGNG

pith:2010:QG2XWGNGMQ6ABMSYNX3ZZNAIKP

not attested not anchored not stored refs pending

Restricted Isometries for Partial Random Circulant Matrices

Holger Rauhut, Joel A. Tropp, Justin Romberg

arxiv:1010.1847 v1 · 2010-10-09 · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QG2XWGNGMQ6ABMSYNX3ZZNAIKP}

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	2026-05-18T02:53:15.943954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b57b19a6643c00b2586df79cb40853cb5e39d06ae834e08fc2818c9649b614

Aliases

arxiv: 1010.1847 · arxiv_version: 1010.1847v1 · doi: 10.48550/arxiv.1010.1847 · pith_short_12: QG2XWGNGMQ6A · pith_short_16: QG2XWGNGMQ6ABMSY · pith_short_8: QG2XWGNG

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/QG2XWGNGMQ6ABMSYNX3ZZNAIKP \
  | 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: 81b57b19a6643c00b2586df79cb40853cb5e39d06ae834e08fc2818c9649b614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de517903f1f897f81d9176846b2abf05aee0b25afe2b6013cba2530a9851f79b",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-10-09T13:37:02Z",
    "title_canon_sha256": "294071034a5b486a84d7c49230955558edd8f9518ab595ed3ffec35e3e9b37ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1847",
    "kind": "arxiv",
    "version": 1
  }
}