Pith Number

pith:2OLBY7GI

pith:2015:2OLBY7GICUD25HGNCYEMXLDBZ7

not attested not anchored not stored refs pending

Secure Degrees of Freedom Region of the Two-User MISO Broadcast Channel with Alternating CSIT

Pritam Mukherjee, Ravi Tandon, Sennur Ulukus

arxiv:1502.02647 v1 · 2015-02-09 · cs.IT · cs.CR · 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{2OLBY7GICUD25HGNCYEMXLDBZ7}

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	2026-05-18T02:27:41.547734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3961c7cc81507ae9ccd1608cbac61cfd62da2d8b007bf1129e9aed4abd139b9

Aliases

arxiv: 1502.02647 · arxiv_version: 1502.02647v1 · doi: 10.48550/arxiv.1502.02647 · pith_short_12: 2OLBY7GICUD2 · pith_short_16: 2OLBY7GICUD25HGN · pith_short_8: 2OLBY7GI

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/2OLBY7GICUD25HGNCYEMXLDBZ7 \
  | 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: d3961c7cc81507ae9ccd1608cbac61cfd62da2d8b007bf1129e9aed4abd139b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e681cdeabb1349621ac1c2ba28474a797968ed420753228f351c2c2a05eb6a",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-09T20:41:24Z",
    "title_canon_sha256": "a0d4d83c707784f7cb62ad231a832bcae375b81022cd5f9c9d7a7bb6618ea900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02647",
    "kind": "arxiv",
    "version": 1
  }
}