Pith Number

pith:2B3VD7DY

pith:2020:2B3VD7DYWERYQBVLLH6W4KP36B

not attested not anchored not stored refs pending

On Optimal Multi-user Beam Alignment in Millimeter Wave Wireless Systems

Abbas Khalili, Elza Erkip, Mohammad A. Amir Khojastepour, Shahram Shahsavari

arxiv:2001.06595 v2 · 2020-01-18 · cs.IT · eess.SP · 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{2B3VD7DYWERYQBVLLH6W4KP36B}

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	2026-07-05T01:06:19.964132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07751fc78b1238806ab59fd6e29fbf05dd0af46b76ea97bc6c17c8b4dbaa945

Aliases

arxiv: 2001.06595 · arxiv_version: 2001.06595v2 · doi: 10.48550/arxiv.2001.06595 · pith_short_12: 2B3VD7DYWERY · pith_short_16: 2B3VD7DYWERYQBVL · pith_short_8: 2B3VD7DY

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/2B3VD7DYWERYQBVLLH6W4KP36B \
  | 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: d07751fc78b1238806ab59fd6e29fbf05dd0af46b76ea97bc6c17c8b4dbaa945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18dcab1c3477b718b0b12929c5b5fcfc2e5294f73bb3d0cdea8bf792cc8c002d",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-01-18T04:07:49Z",
    "title_canon_sha256": "4844af9f1bb24c8a80a13221297473bf5a792636f7ec18017790aee00027e03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06595",
    "kind": "arxiv",
    "version": 2
  }
}