Pith Number

pith:C7NTA4QR

pith:2012:C7NTA4QRR3FPNFRUHD5MO6PNVY

not attested not anchored not stored refs pending

Matrix concentration inequalities via the method of exchangeable pairs

Brendan Farrell, Joel A. Tropp, Lester Mackey, Michael I. Jordan, Richard Y. Chen

arxiv:1201.6002 v2 · 2012-01-28 · 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{C7NTA4QRR3FPNFRUHD5MO6PNVY}

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	2026-05-18T02:53:15.693427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17db3072118ecaf6963438fac779edae32db5bb1bbd2035957c07b9560f01806

Aliases

arxiv: 1201.6002 · arxiv_version: 1201.6002v2 · doi: 10.48550/arxiv.1201.6002 · pith_short_12: C7NTA4QRR3FP · pith_short_16: C7NTA4QRR3FPNFRU · pith_short_8: C7NTA4QR

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/C7NTA4QRR3FPNFRUHD5MO6PNVY \
  | 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: 17db3072118ecaf6963438fac779edae32db5bb1bbd2035957c07b9560f01806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "890a67f5671a566f15de83e9fe4c348745484d16cdfe185837f748f2fb08290c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-28T23:23:23Z",
    "title_canon_sha256": "54362ff8d8e9109e0b727945116195f0aa05478bdb45ca5dbdce7bf81a160090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6002",
    "kind": "arxiv",
    "version": 2
  }
}