Pith Number

pith:7NC32I6K

pith:2014:7NC32I6KH7NOEBW266AZWIWI7A

not attested not anchored not stored refs pending

Weighted Fair Multicast Multigroup Beamforming under Per-antenna Power Constraints

Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas

arxiv:1406.7557 v1 · 2014-06-29 · 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{7NC32I6KH7NOEBW266AZWIWI7A}

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	2026-05-18T01:42:45.325645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb45bd23ca3fdae206daf7819b22c8f81b55796926a553c9e7ba573598ad171f

Aliases

arxiv: 1406.7557 · arxiv_version: 1406.7557v1 · doi: 10.48550/arxiv.1406.7557 · pith_short_12: 7NC32I6KH7NO · pith_short_16: 7NC32I6KH7NOEBW2 · pith_short_8: 7NC32I6K

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/7NC32I6KH7NOEBW266AZWIWI7A \
  | 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: fb45bd23ca3fdae206daf7819b22c8f81b55796926a553c9e7ba573598ad171f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1354ed1a812e6faf8fb1ef877569811acd64897aabd3cfeac5209ac182015f8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-06-29T20:14:10Z",
    "title_canon_sha256": "51bb0291bc3d7ca78362e9c8965cb3436e8f604aeab77a6c6fd9f98903f9d19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7557",
    "kind": "arxiv",
    "version": 1
  }
}