Pith Number

pith:P5PKK72Z

pith:2008:P5PKK72ZKK7SBOCQZHFML5GIXA

not attested not anchored not stored refs pending

Capacity-achieving Feedback Scheme for Gaussian Finite-State Markov Channels with Channel State Information

Jialing Liu, Nicola Elia, Sekhar Tatikonda

arxiv:0808.2089 v2 · 2008-08-15 · 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{P5PKK72ZKK7SBOCQZHFML5GIXA}

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	2026-05-18T00:57:58.489120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5ea57f5952bf20b850c9cac5f4c8b83d682a7dc212ef38d1d94af8e916ecf9

Aliases

arxiv: 0808.2089 · arxiv_version: 0808.2089v2 · doi: 10.48550/arxiv.0808.2089 · pith_short_12: P5PKK72ZKK7S · pith_short_16: P5PKK72ZKK7SBOCQ · pith_short_8: P5PKK72Z

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/P5PKK72ZKK7SBOCQZHFML5GIXA \
  | 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: 7f5ea57f5952bf20b850c9cac5f4c8b83d682a7dc212ef38d1d94af8e916ecf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778dd261ab0f433c4a41aad38c4e6a20de8226c778dfd31a201b1968358d1cb9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-08-15T03:53:57Z",
    "title_canon_sha256": "3100f6e47cf5d2503035da8797f29995fceb0b4ed5675c868ca66351b26c9c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2089",
    "kind": "arxiv",
    "version": 2
  }
}