Pith Number

pith:F4EI7XFQ

pith:2013:F4EI7XFQQWYFIMNM2HRBZN2E52

not attested not anchored not stored refs pending

Capacity Bounds and Sum Rate Capacities of a CLass of Discrete Memoryless Interference Channels

Biao Chen, Fangfang Zhu

arxiv:1303.2087 v1 · 2013-03-08 · 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{F4EI7XFQQWYFIMNM2HRBZN2E52}

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	2026-05-18T03:31:31.416929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f088fdcb085b05431acd1e21cb744ee9846edf21b990601a8decefd9c67df55

Aliases

arxiv: 1303.2087 · arxiv_version: 1303.2087v1 · doi: 10.48550/arxiv.1303.2087 · pith_short_12: F4EI7XFQQWYF · pith_short_16: F4EI7XFQQWYFIMNM · pith_short_8: F4EI7XFQ

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/F4EI7XFQQWYFIMNM2HRBZN2E52 \
  | 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: 2f088fdcb085b05431acd1e21cb744ee9846edf21b990601a8decefd9c67df55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1d0dcdab1d10e84bdb6b80f51fc7a2d09db2ed3ec0be2b74d1eb55ef4e01bb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-08T19:32:37Z",
    "title_canon_sha256": "5b45e705754db2b756d4a95f7dc8c20cea29841a6e15a6279b2caca1d5135cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2087",
    "kind": "arxiv",
    "version": 1
  }
}