Pith Number

pith:7A6NYNWP

pith:2016:7A6NYNWPMU7HIRD4GNNDXSJ4QB

not attested not anchored not stored refs pending

Smoothing Brascamp-Lieb Inequalities and Strong Converses for Common Randomness Generation

Jingbo Liu, Paul Cuff, Sergio Verdu, Thomas A. Courtade

arxiv:1602.02216 v1 · 2016-02-06 · 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{7A6NYNWPMU7HIRD4GNNDXSJ4QB}

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	2026-05-18T01:21:10.611683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83cdc36cf653e74447c335a3bc93c805febbcf135f6502d9d699a5d95e71c09

Aliases

arxiv: 1602.02216 · arxiv_version: 1602.02216v1 · doi: 10.48550/arxiv.1602.02216 · pith_short_12: 7A6NYNWPMU7H · pith_short_16: 7A6NYNWPMU7HIRD4 · pith_short_8: 7A6NYNWP

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/7A6NYNWPMU7HIRD4GNNDXSJ4QB \
  | 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: f83cdc36cf653e74447c335a3bc93c805febbcf135f6502d9d699a5d95e71c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddeb18b598a64f37c14a97075e2df81bb5b0e55ee83fc54d31863d521742ef8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-06T05:06:52Z",
    "title_canon_sha256": "49f0ec283690e22ea9681ba0c78e5b0920d1a8035c556706e1fa7e35f0580a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02216",
    "kind": "arxiv",
    "version": 1
  }
}