Pith Number

pith:WGOPQPFI

pith:2014:WGOPQPFI7NVH2D5FCKAERFFR3J

not attested not anchored not stored refs pending

Capacity Approximations for Gaussian Relay Networks

Abbas El Gamal, Ayfer \"Ozg\"ur, Ritesh Kolte

arxiv:1407.3841 v3 · 2014-07-14 · 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{WGOPQPFI7NVH2D5FCKAERFFR3J}

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	2026-05-18T01:36:51.662546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19cf83ca8fb6a7d0fa512804894b1da5f236872b8a786b8abe7e63d1c1f6d7a

Aliases

arxiv: 1407.3841 · arxiv_version: 1407.3841v3 · doi: 10.48550/arxiv.1407.3841 · pith_short_12: WGOPQPFI7NVH · pith_short_16: WGOPQPFI7NVH2D5F · pith_short_8: WGOPQPFI

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/WGOPQPFI7NVH2D5FCKAERFFR3J \
  | 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: b19cf83ca8fb6a7d0fa512804894b1da5f236872b8a786b8abe7e63d1c1f6d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86a74d6d94d17aa4e2941be9fc84ada611ca5eae245e8b183a91697c1a59e6b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-07-14T22:52:11Z",
    "title_canon_sha256": "a1564a77aa7dca816fb33141c263671b78201779f56b0f049ce97f158a7c64f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3841",
    "kind": "arxiv",
    "version": 3
  }
}