Pith Number

pith:US3EBZE5

pith:2008:US3EBZE55REYOVXOCUJHLAYCTX

not attested not anchored not stored refs pending

Necessary and Sufficient Conditions on Sparsity Pattern Recovery

Alyson K. Fletcher, Sundeep Rangan, Vivek K. Goyal

arxiv:0804.1839 v1 · 2008-04-11 · cs.IT · 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{US3EBZE55REYOVXOCUJHLAYCTX}

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	2026-05-18T04:41:35.176278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b640e49dec498756ee15127583029de97a1fa7601d4726389c6fd734516a5e

Aliases

arxiv: 0804.1839 · arxiv_version: 0804.1839v1 · doi: 10.48550/arxiv.0804.1839 · pith_short_12: US3EBZE55REY · pith_short_16: US3EBZE55REYOVXO · pith_short_8: US3EBZE5

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/US3EBZE55REYOVXOCUJHLAYCTX \
  | 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: a4b640e49dec498756ee15127583029de97a1fa7601d4726389c6fd734516a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672c7013cd6011107fc1070ddaeb119e55946c8ccb6894c288e571ddf0dd9c86",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-04-11T07:16:32Z",
    "title_canon_sha256": "9c5a1f176f70e74c46b48e93dc7880f3258b389b15775c657c10b56cd1c029ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1839",
    "kind": "arxiv",
    "version": 1
  }
}