Pith Number

pith:LJ5M2HR6

pith:2013:LJ5M2HR64ILOCS6DS55QCB6SDW

not attested not anchored not stored refs pending

Achievable Degrees of Freedom Region of the MIMO Relay Networks using the Detour Schemes

Ahmed A. Zewail, H. El Gamal, M. Nafie, Y. Mohasseb

arxiv:1307.0685 v3 · 2013-07-02 · 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{LJ5M2HR64ILOCS6DS55QCB6SDW}

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	2026-05-18T02:57:35.819185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7acd1e3ee216e14bc3977b0107d21d97c199759ffd189c5805a68bd9cb9dbf

Aliases

arxiv: 1307.0685 · arxiv_version: 1307.0685v3 · doi: 10.48550/arxiv.1307.0685 · pith_short_12: LJ5M2HR64ILO · pith_short_16: LJ5M2HR64ILOCS6D · pith_short_8: LJ5M2HR6

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/LJ5M2HR64ILOCS6DS55QCB6SDW \
  | 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: 5a7acd1e3ee216e14bc3977b0107d21d97c199759ffd189c5805a68bd9cb9dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f33bf2c26da297aeada262c3b61b24111c5b75c32b2594fae8d64d7888f636",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-02T11:22:03Z",
    "title_canon_sha256": "a47830cd8f326e472aa8dbcd06ff27af0d04dab858fd597a3bbdfcc1d063e004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0685",
    "kind": "arxiv",
    "version": 3
  }
}