Pith Number

pith:OPKB55EU

pith:2005:OPKB55EU2EIUE5FF3JXW3WXUNZ

not attested not anchored not stored refs pending

A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity

Young-Han Kim

arxiv:cs/0511019 v1 · 2005-11-04 · 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{OPKB55EU2EIUE5FF3JXW3WXUNZ}

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	2026-05-18T00:58:08.914348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d41ef494d1114274a5da6f6ddaf46e7520b734a175e2c408fbb79f903450d4

Aliases

arxiv: cs/0511019 · arxiv_version: cs/0511019v1 · doi: 10.48550/arxiv.cs/0511019 · pith_short_12: OPKB55EU2EIU · pith_short_16: OPKB55EU2EIUE5FF · pith_short_8: OPKB55EU

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/OPKB55EU2EIUE5FF3JXW3WXUNZ \
  | 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: 73d41ef494d1114274a5da6f6ddaf46e7520b734a175e2c408fbb79f903450d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d8bc405c75f1353894eafd58302cc1c00284a9afc39fbf086a4979c73b88e5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-11-04T01:22:16Z",
    "title_canon_sha256": "f3ba3bcbbe6370d68f74f399f11f8f103a1f9419276ff0e1245932c456d56a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0511019",
    "kind": "arxiv",
    "version": 1
  }
}