Pith Number

pith:TNXDBSDN

pith:2017:TNXDBSDNEWQV3NZM5AM56RHX4B

not attested not anchored not stored refs pending

Spatially Controlled Relay Beamforming: $2$-Stage Optimal Policies

Athina P. Petropulu, Dionysios S. Kalogerias

arxiv:1705.07463 v1 · 2017-05-21 · math.OC · cs.IT · math.IT · math.ST · stat.AP · stat.ME · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNXDBSDNEWQV3NZM5AM56RHX4B}

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	2026-05-18T00:44:05.514040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6e30c86d25a15db72ce819df44f7e068ebda452ec5f1178af83c3dcfcdf1e3

Aliases

arxiv: 1705.07463 · arxiv_version: 1705.07463v1 · doi: 10.48550/arxiv.1705.07463 · pith_short_12: TNXDBSDNEWQV · pith_short_16: TNXDBSDNEWQV3NZM · pith_short_8: TNXDBSDN

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/TNXDBSDNEWQV3NZM5AM56RHX4B \
  | 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: 9b6e30c86d25a15db72ce819df44f7e068ebda452ec5f1178af83c3dcfcdf1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0061a8af96dc770e868dceaf453a29272034afcfd5ee3c664d660d036ddfa118",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.AP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-21T15:29:13Z",
    "title_canon_sha256": "14b4cc019ae38cf1384d8ade6becc1d72ab2eb308c6d094dca4f641cf9099b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07463",
    "kind": "arxiv",
    "version": 1
  }
}