Pith Number

pith:AVQXN56H

pith:2013:AVQXN56HZIEO4LWH3OQY6QOYZK

not attested not anchored not stored refs pending

Asymptotically Optimal Beamforming for Video Streaming in Multi-Antenna Interference Networks

Fan Zhang, Vincent K. N. Lau

arxiv:1309.2721 v2 · 2013-09-11 · 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{AVQXN56HZIEO4LWH3OQY6QOYZK}

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	2026-05-18T03:12:46.004128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

056176f7c7ca08ee2ec7dba18f41d8cab2d34b990d78af9d89c5f7dfcc1efb62

Aliases

arxiv: 1309.2721 · arxiv_version: 1309.2721v2 · doi: 10.48550/arxiv.1309.2721 · pith_short_12: AVQXN56HZIEO · pith_short_16: AVQXN56HZIEO4LWH · pith_short_8: AVQXN56H

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/AVQXN56HZIEO4LWH3OQY6QOYZK \
  | 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: 056176f7c7ca08ee2ec7dba18f41d8cab2d34b990d78af9d89c5f7dfcc1efb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071f29e0bd25fac597f5a8d88240bb79d08d780ccabae52615b0596a47f4831e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-11T03:01:08Z",
    "title_canon_sha256": "1ac9a116c4f8b731f12d3a8cabd345f03c59e37f0bf7d16e203e1c7932348150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2721",
    "kind": "arxiv",
    "version": 2
  }
}