Pith Number

pith:XDAGVWWC

pith:2012:XDAGVWWC5EHIR4JL35HIHTJ5QM

not attested not anchored not stored refs pending

Minimum CSIT to achieve Maximum Degrees of Freedom for the MISO BC

Ravi Tandon, Shlomo Shamai, Syed A. Jafar

arxiv:1211.4254 v2 · 2012-11-18 · 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{XDAGVWWC5EHIR4JL35HIHTJ5QM}

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	2026-05-18T03:39:41.233923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c06adac2e90e88f12bdf4e83cd3d8336fff88db831454b7c0658b7ca55f777

Aliases

arxiv: 1211.4254 · arxiv_version: 1211.4254v2 · doi: 10.48550/arxiv.1211.4254 · pith_short_12: XDAGVWWC5EHI · pith_short_16: XDAGVWWC5EHIR4JL · pith_short_8: XDAGVWWC

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/XDAGVWWC5EHIR4JL35HIHTJ5QM \
  | 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: b8c06adac2e90e88f12bdf4e83cd3d8336fff88db831454b7c0658b7ca55f777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8018663d29fe195cf968cab4e58b656eb81ee8643f4a68e2a534820dd68c5289",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-18T20:04:51Z",
    "title_canon_sha256": "a9741d0f5daf4acc56e3bf9adea0b36901691384ee84f02c439d298ef79e7d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4254",
    "kind": "arxiv",
    "version": 2
  }
}