Pith Number

pith:HAL7VUUP

pith:2016:HAL7VUUPX7J25X3CJWW34IDMGY

not attested not anchored not stored refs pending

On the DoF of Two-way $2\times2\times2$ Relay Networks with or without Relay Caching

Mehdi Ashraphijuo, Vaneet Aggarwal, Xiaodong Wang

arxiv:1611.08660 v1 · 2016-11-26 · 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{HAL7VUUPX7J25X3CJWW34IDMGY}

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	2026-05-18T00:31:31.491746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3817fad28fbfd3aedf624dadbe206c362ef2e126a10874bfb9b8d20d1aae2bac

Aliases

arxiv: 1611.08660 · arxiv_version: 1611.08660v1 · doi: 10.48550/arxiv.1611.08660 · pith_short_12: HAL7VUUPX7J2 · pith_short_16: HAL7VUUPX7J25X3C · pith_short_8: HAL7VUUP

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/HAL7VUUPX7J25X3CJWW34IDMGY \
  | 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: 3817fad28fbfd3aedf624dadbe206c362ef2e126a10874bfb9b8d20d1aae2bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf2f119442e5eadb67c2c97880fa48f79d0fa2d803926611a1a2dd58184c188",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-26T05:35:54Z",
    "title_canon_sha256": "f7c8c3d0a1f9aff38112510047a3854fe69541d5ab611c5d12ddd438b87699fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08660",
    "kind": "arxiv",
    "version": 1
  }
}