Pith Number

pith:DCLWXJG3

pith:2012:DCLWXJG3C56NDENBKN5BSPASEA

not attested not anchored not stored refs pending

Outer Bounds for the Capacity Region of a Gaussian Two-way Relay Channel

Andrew Thangaraj, Ishaque Ashar K., Prathyusha V., Srikrishna Bhashyam

arxiv:1208.2116 v2 · 2012-08-10 · 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{DCLWXJG3C56NDENBKN5BSPASEA}

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	2026-05-18T03:43:52.022460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18976ba4db177cd191a1537a193c12203b2e0889c0e7203bec2c54256fdb9d03

Aliases

arxiv: 1208.2116 · arxiv_version: 1208.2116v2 · doi: 10.48550/arxiv.1208.2116 · pith_short_12: DCLWXJG3C56N · pith_short_16: DCLWXJG3C56NDENB · pith_short_8: DCLWXJG3

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/DCLWXJG3C56NDENBKN5BSPASEA \
  | 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: 18976ba4db177cd191a1537a193c12203b2e0889c0e7203bec2c54256fdb9d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "109fe4977c003fd662fbf30eae55b0e8c02b3260c053319dbd651d6ae0eeefa3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-10T08:48:23Z",
    "title_canon_sha256": "1a5a9d551cced3999a735289c37e2baa5f54ef342fbefde9bd0f5e48e2eca771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2116",
    "kind": "arxiv",
    "version": 2
  }
}