Pith Number

pith:7QCCAS7B

pith:2016:7QCCAS7B3APT3HQOYIYCMATHYO

not attested not anchored not stored refs pending

An Achievable Rate Region for the Two-Way Multiple-Relay Channel

Jonathan Ponniah, Liang-Liang Xie

arxiv:1601.06229 v2 · 2016-01-23 · 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{7QCCAS7B3APT3HQOYIYCMATHYO}

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	2026-05-18T01:10:38.028892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc04204be1d81f3d9e0ec230260267c38bc5657e3a82f06d7ed21e61a852907d

Aliases

arxiv: 1601.06229 · arxiv_version: 1601.06229v2 · doi: 10.48550/arxiv.1601.06229 · pith_short_12: 7QCCAS7B3APT · pith_short_16: 7QCCAS7B3APT3HQO · pith_short_8: 7QCCAS7B

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/7QCCAS7B3APT3HQOYIYCMATHYO \
  | 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: fc04204be1d81f3d9e0ec230260267c38bc5657e3a82f06d7ed21e61a852907d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ece865ca9526b648644c36876410af95d820bb6f5d0433f87b9c6c234326af",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-23T04:28:26Z",
    "title_canon_sha256": "2ca2309baed34ab5f31a30ccca6e72ef1f924ddfcc468c5552c25a37606e7530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06229",
    "kind": "arxiv",
    "version": 2
  }
}