Pith Number

pith:U4NEAJDL

pith:2011:U4NEAJDLBJA7U2P42VPZKJIN2R

not attested not anchored not stored refs pending

Concentration of Measure Inequalities for Toeplitz Matrices with Applications

Borhan M. Sanandaji, Michael B. Wakin, Tyrone L. Vincent

arxiv:1112.1968 v2 · 2011-12-08 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4NEAJDLBJA7U2P42VPZKJIN2R}

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	2026-05-18T00:58:18.563383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71a40246b0a41fa69fcd55f95250dd4769317b36b71da2d051dca5bae62bb90

Aliases

arxiv: 1112.1968 · arxiv_version: 1112.1968v2 · doi: 10.48550/arxiv.1112.1968 · pith_short_12: U4NEAJDLBJA7 · pith_short_16: U4NEAJDLBJA7U2P4 · pith_short_8: U4NEAJDL

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/U4NEAJDLBJA7U2P42VPZKJIN2R \
  | 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: a71a40246b0a41fa69fcd55f95250dd4769317b36b71da2d051dca5bae62bb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c960cf92932a5229e14e3bc740a6909e54303ee9a52d46869c7ddd8b09e0ef73",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-08T21:39:50Z",
    "title_canon_sha256": "7f1ccd5f316eb91fd3e85e3168696f4dd2efdf8828fe8f66f18ab73639c808cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1968",
    "kind": "arxiv",
    "version": 2
  }
}