Pith Number

pith:C4FWWOVA

pith:2012:C4FWWOVANTPTBOQJFW3OKCAKF7

not attested not anchored not stored refs pending

Typical $l_1$-recovery limit of sparse vectors represented by concatenations of random orthogonal matrices

Mikko Vehkapera, Saikat Chatterjee, Yoshiyuki Kabashima

arxiv:1208.4696 v2 · 2012-08-23 · cs.IT · cond-mat.dis-nn · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4FWWOVANTPTBOQJFW3OKCAKF7}

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	2026-05-18T02:21:00.582717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170b6b3aa06cdf30ba092db6e5080a2fd62c0b9a96d8f066f747003db127d71f

Aliases

arxiv: 1208.4696 · arxiv_version: 1208.4696v2 · doi: 10.48550/arxiv.1208.4696 · pith_short_12: C4FWWOVANTPT · pith_short_16: C4FWWOVANTPTBOQJ · pith_short_8: C4FWWOVA

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/C4FWWOVANTPTBOQJFW3OKCAKF7 \
  | 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: 170b6b3aa06cdf30ba092db6e5080a2fd62c0b9a96d8f066f747003db127d71f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364990b7fed4e2ee4f7e59eddb1779affa88ac4cc89ef25749ea50ec51807678",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-23T09:09:54Z",
    "title_canon_sha256": "f812a119087f7a6df7e1cecb39338fa88184acd485605887c96ac3962749f1cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4696",
    "kind": "arxiv",
    "version": 2
  }
}