Pith Number

pith:RG4QT4D5

pith:2011:RG4QT4D5SQ6ZMZYUUGZ7GIBEJV

not attested not anchored not stored refs pending

Multiuser Diversity in Interfering Broadcast Channels: Achievable Degrees of Freedom and User Scaling Law

Bhaskar D. Rao, Jung Hoon Lee, Wan Choi

arxiv:1111.1051 v3 · 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{RG4QT4D5SQ6ZMZYUUGZ7GIBEJV}

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	2026-05-18T03:08:59.857208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b909f07d943d966714a1b3f320244d7a166893dc7ccc0a78c70d9301234b6c

Aliases

arxiv: 1111.1051 · arxiv_version: 1111.1051v3 · doi: 10.48550/arxiv.1111.1051 · pith_short_12: RG4QT4D5SQ6Z · pith_short_16: RG4QT4D5SQ6ZMZYU · pith_short_8: RG4QT4D5

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/RG4QT4D5SQ6ZMZYUUGZ7GIBEJV \
  | 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: 89b909f07d943d966714a1b3f320244d7a166893dc7ccc0a78c70d9301234b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa5847e71bac92190294b9b2e2ecce20c47b959078ca162d6efb69be2cab1c4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-04T05:48:31Z",
    "title_canon_sha256": "bf79a50d45897585e1766565e0b4e997b29d0e3fdd31f7c3de36bc61a57c0754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1051",
    "kind": "arxiv",
    "version": 3
  }
}