Pith Number

pith:HKH3D7CC

pith:2019:HKH3D7CCPNPMK2RPNF4RZGMOZF

not attested not anchored not stored refs pending

Low Complexity Algorithms for Robust Multigroup Multicast Beamforming

Feng Yang, Guangda Zang, Hei Victor Cheng, Hui Liu, Lianghui Ding, Wei Liu, Ying Cui

arxiv:1905.05639 v1 · 2019-05-14 · 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{HKH3D7CCPNPMK2RPNF4RZGMOZF}

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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	2026-05-17T23:46:13.971574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8fb1fc427b5ec56a2f69791c998ec96c1f235f99a5d1dd74ee0746592cf58c

Aliases

arxiv: 1905.05639 · arxiv_version: 1905.05639v1 · doi: 10.48550/arxiv.1905.05639 · pith_short_12: HKH3D7CCPNPM · pith_short_16: HKH3D7CCPNPMK2RP · pith_short_8: HKH3D7CC

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/HKH3D7CCPNPMK2RPNF4RZGMOZF \
  | 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: 3a8fb1fc427b5ec56a2f69791c998ec96c1f235f99a5d1dd74ee0746592cf58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747593889aa0ec648eb07c804e54903cb30962955770dfd89e665a9dd31e0a67",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-05-14T14:29:16Z",
    "title_canon_sha256": "185f0df2f5c98e7dc4215b58f1302008fb739d2425f04c9bcf103fb94ede66de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05639",
    "kind": "arxiv",
    "version": 1
  }
}