Pith Number

pith:P4QHC74G

pith:2013:P4QHC74GXEYULL3LOTNUJF4LHE

not attested not anchored not stored refs pending

Under-determined linear systems and $\ell_q$-optimization thresholds

Mihailo Stojnic

arxiv:1306.3774 v1 · 2013-06-17 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4QHC74GXEYULL3LOTNUJF4LHE}

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	2026-05-18T03:20:46.489432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f20717f86b93145af6b74db44978b39135439bce81ba17c314d7e993c2d78cf

Aliases

arxiv: 1306.3774 · arxiv_version: 1306.3774v1 · doi: 10.48550/arxiv.1306.3774 · pith_short_12: P4QHC74GXEYU · pith_short_16: P4QHC74GXEYULL3L · pith_short_8: P4QHC74G

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/P4QHC74GXEYULL3LOTNUJF4LHE \
  | 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: 7f20717f86b93145af6b74db44978b39135439bce81ba17c314d7e993c2d78cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d539c50c558a8bfef567a642f54248857649c0aa5770ac24f4493482610929",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-17T08:49:56Z",
    "title_canon_sha256": "d6de2e914de1f87ab2b6aa3c4ecb70a632edcf0a3a727e4fab1e03fe1929d711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3774",
    "kind": "arxiv",
    "version": 1
  }
}