Pith Number

pith:P2B4L5OX

pith:2016:P2B4L5OXNOHYUPE22VD5DSXZJW

not attested not anchored not stored refs pending

Achievable DoF Regions of MIMO Networks with Imperfect CSIT

Borzoo Rassouli, Bruno Clerckx, Chenxi Hao

arxiv:1603.07513 v3 · 2016-03-24 · 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{P2B4L5OXNOHYUPE22VD5DSXZJW}

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	2026-05-18T00:43:09.519918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e83c5f5d76b8f8a3c9ad547d1caf94d9e0ada9a4e2e921243d8a5dfafe953f9

Aliases

arxiv: 1603.07513 · arxiv_version: 1603.07513v3 · doi: 10.48550/arxiv.1603.07513 · pith_short_12: P2B4L5OXNOHY · pith_short_16: P2B4L5OXNOHYUPE2 · pith_short_8: P2B4L5OX

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/P2B4L5OXNOHYUPE22VD5DSXZJW \
  | 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: 7e83c5f5d76b8f8a3c9ad547d1caf94d9e0ada9a4e2e921243d8a5dfafe953f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa5e2189d73f5abcd166fd8d1045505cf9a15c3e1e2815eb8f7f32b81eb9a4a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-24T10:31:51Z",
    "title_canon_sha256": "b5afbb6d5b6572a61a030f7370c28c238c98fa6903801973149bef94a3ec1366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07513",
    "kind": "arxiv",
    "version": 3
  }
}