Pith Number

pith:K4PDWZ3R

pith:2011:K4PDWZ3R43TWIMUOWTNOT7JVHT

not attested not anchored not stored refs pending

Estimation of a sparse group of sparse vectors

Felix Abramovich, Vadim Grinshtein

arxiv:1104.1771 v2 · 2011-04-10 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4PDWZ3R43TWIMUOWTNOT7JVHT}

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	2026-05-18T04:01:11.610606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571e3b6771e6e764328eb4dae9fd353cfb5ae2b86d09ce870d032036c1d0ba7e

Aliases

arxiv: 1104.1771 · arxiv_version: 1104.1771v2 · doi: 10.48550/arxiv.1104.1771 · pith_short_12: K4PDWZ3R43TW · pith_short_16: K4PDWZ3R43TWIMUO · pith_short_8: K4PDWZ3R

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/K4PDWZ3R43TWIMUOWTNOT7JVHT \
  | 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: 571e3b6771e6e764328eb4dae9fd353cfb5ae2b86d09ce870d032036c1d0ba7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8da113ad531c0633dee846f0761c67524e4fc07226ea9b95654c309edf45e0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-04-10T14:38:41Z",
    "title_canon_sha256": "17f793a75cc862bf9f30b07546a254bef998080dd2e2df40890332e960ec42fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1771",
    "kind": "arxiv",
    "version": 2
  }
}