Pith Number

pith:57MRTM44

pith:2011:57MRTM44AWWCOLBILJUUP3JLEW

not attested not anchored not stored refs pending

Achievable and Crystallized Rate Regions of the Interference Channel with Interference as Noise

Arogyaswami Paulraj, Aydin Sezgin, Mohamad Awad Charafeddine, Zhu Han

arxiv:1111.1048 v2 · 2011-11-04 · 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{57MRTM44AWWCOLBILJUUP3JLEW}

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	2026-05-18T03:59:49.301402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd919b39c05ac272c285a6947ed2b2583d58d626911b6c2f66f9d33ad03f03f

Aliases

arxiv: 1111.1048 · arxiv_version: 1111.1048v2 · doi: 10.48550/arxiv.1111.1048 · pith_short_12: 57MRTM44AWWC · pith_short_16: 57MRTM44AWWCOLBI · pith_short_8: 57MRTM44

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/57MRTM44AWWCOLBILJUUP3JLEW \
  | 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: efd919b39c05ac272c285a6947ed2b2583d58d626911b6c2f66f9d33ad03f03f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c16dc8d57775d2457c62fa6e7c71205ac68a53c582070e411e20d900fb7d86",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-04T05:21:53Z",
    "title_canon_sha256": "73767586fce88b71c1e2ccf0e865b18f4fbc39ffe5f3c8c95beaea40db3717ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1048",
    "kind": "arxiv",
    "version": 2
  }
}