Pith Number

pith:GHHXA3VL

pith:2010:GHHXA3VLKTUTPJUBU625LQL2JO

not attested not anchored not stored refs pending

Gaussian Relay Channel Capacity to Within a Fixed Number of Bits

Sae-Young Chung, Woohyuk Chang, Yong H. Lee

arxiv:1011.5065 v1 · 2010-11-23 · 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{GHHXA3VLKTUTPJUBU625LQL2JO}

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	2026-05-18T04:34:54.827294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cf706eab54e937a681a7b5d5c17a4bb2ec9d9a5a454308de7aa0334111d9ee

Aliases

arxiv: 1011.5065 · arxiv_version: 1011.5065v1 · doi: 10.48550/arxiv.1011.5065 · pith_short_12: GHHXA3VLKTUT · pith_short_16: GHHXA3VLKTUTPJUB · pith_short_8: GHHXA3VL

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/GHHXA3VLKTUTPJUBU625LQL2JO \
  | 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: 31cf706eab54e937a681a7b5d5c17a4bb2ec9d9a5a454308de7aa0334111d9ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59ab62af90ea5697ad1907dcbf648a52e571cc5ba30a3b790a3b78a0879553e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-11-23T11:27:46Z",
    "title_canon_sha256": "bbf926656e30a8354ec452e9877ec6e620ce3f2a44b217d079beaffd4a2b93d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5065",
    "kind": "arxiv",
    "version": 1
  }
}