Pith Number

pith:VG3DFDEZ

pith:2005:VG3DFDEZ7GBIU4TCMM3YSGJ7XC

not attested not anchored not stored refs pending

Sampling from large matrices: an approach through geometric functional analysis

Mark Rudelson, Roman Vershynin

arxiv:math/0503442 v3 · 2005-03-22 · math.FA · 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{VG3DFDEZ7GBIU4TCMM3YSGJ7XC}

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	2026-05-18T00:54:09.268940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b6328c99f9828a7262633789193fb8a84e1e189ceb32afc4af43a0dd16e080

Aliases

arxiv: math/0503442 · arxiv_version: math/0503442v3 · doi: 10.48550/arxiv.math/0503442 · pith_short_12: VG3DFDEZ7GBI · pith_short_16: VG3DFDEZ7GBIU4TC · pith_short_8: VG3DFDEZ

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/VG3DFDEZ7GBIU4TCMM3YSGJ7XC \
  | 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: a9b6328c99f9828a7262633789193fb8a84e1e189ceb32afc4af43a0dd16e080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9511db6055189870b20b889a6f203448d3968a86195788ef24257f61149e59",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-03-22T00:01:47Z",
    "title_canon_sha256": "a01c8cd9d7f72b3ae849994e7ddb8b579a74a04fbc9bd286d461571c8404e990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503442",
    "kind": "arxiv",
    "version": 3
  }
}