Pith Number

pith:6T7DKYZM

pith:2012:6T7DKYZMTTZYEEH5AKPZOYEMT4

not attested not anchored not stored refs pending

Lattice Coding for the Two-way Two-relay Channel

Chiu Ngo, Huai-Rong Shao, Natasha Devroye, Yiwei Song

arxiv:1212.1198 v1 · 2012-12-05 · 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{6T7DKYZMTTZYEEH5AKPZOYEMT4}

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	2026-05-18T00:58:42.757845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4fe35632c9cf38210fd029f97608c9f16ccd37fb3d7a1edf1332b192c060736

Aliases

arxiv: 1212.1198 · arxiv_version: 1212.1198v1 · doi: 10.48550/arxiv.1212.1198 · pith_short_12: 6T7DKYZMTTZY · pith_short_16: 6T7DKYZMTTZYEEH5 · pith_short_8: 6T7DKYZM

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/6T7DKYZMTTZYEEH5AKPZOYEMT4 \
  | 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: f4fe35632c9cf38210fd029f97608c9f16ccd37fb3d7a1edf1332b192c060736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd06be3eb9228d77d544a83b42a6b41890cfbe13d3f8f9a7985f46182d283d07",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-05T22:48:39Z",
    "title_canon_sha256": "a3cb3aabd705ce45c23ea7a411e6ea78164cfaa4ecd2179430eceabbaded2359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1198",
    "kind": "arxiv",
    "version": 1
  }
}