Pith Number

pith:O65J5MYY

pith:2018:O65J5MYY5OISZI42IG4LCJWEOP

not attested not anchored not stored refs pending

Capacity Upper Bounds for the Relay Channel via Reverse Hypercontractivity

Ayfer Ozgur, Jingbo Liu

arxiv:1811.11303 v1 · 2018-11-27 · 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{O65J5MYY5OISZI42IG4LCJWEOP}

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	2026-05-17T23:59:44.231391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ba9eb318eb912ca39a41b8b126c473fd3a6f3e32479b45df8dd222c4b63db7

Aliases

arxiv: 1811.11303 · arxiv_version: 1811.11303v1 · doi: 10.48550/arxiv.1811.11303 · pith_short_12: O65J5MYY5OIS · pith_short_16: O65J5MYY5OISZI42 · pith_short_8: O65J5MYY

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/O65J5MYY5OISZI42IG4LCJWEOP \
  | 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: 77ba9eb318eb912ca39a41b8b126c473fd3a6f3e32479b45df8dd222c4b63db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba8d34f6c0e4cda4c2e0ad53de219f756f5067ab8fdad7a9e4ef6c1f1d5b03e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-11-27T23:07:43Z",
    "title_canon_sha256": "aed16b5498b873aa357c46309b4edbe617c8c4ffd082db471384f8166c21615a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11303",
    "kind": "arxiv",
    "version": 1
  }
}