Pith Number

pith:T42Y5YYU

pith:2013:T42Y5YYUGBCDH57XRNM2IGH4TP

not attested not anchored not stored refs pending

Bounds on restricted isometry constants of random matrices

Mihailo Stojnic

arxiv:1306.3779 v2 · 2013-06-17 · math.OC · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T42Y5YYUGBCDH57XRNM2IGH4TP}

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	2026-05-18T01:36:48.474960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f358ee314304433f7f78b59a418fc9bf3e4c54f81cdc1f04e1b74a9f669cf9e

Aliases

arxiv: 1306.3779 · arxiv_version: 1306.3779v2 · doi: 10.48550/arxiv.1306.3779 · pith_short_12: T42Y5YYUGBCD · pith_short_16: T42Y5YYUGBCDH57X · pith_short_8: T42Y5YYU

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/T42Y5YYUGBCDH57XRNM2IGH4TP \
  | 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: 9f358ee314304433f7f78b59a418fc9bf3e4c54f81cdc1f04e1b74a9f669cf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6850c2b2e0ae9f82836545e8c85c44d174d0b82c0d7797b6e6b127cd86350f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-17T09:07:32Z",
    "title_canon_sha256": "9d52e75059c993a9600463f22e48e36991d3da10692bf59f5d2d73bb35d30258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3779",
    "kind": "arxiv",
    "version": 2
  }
}