Pith Number

pith:KYP7V2TP

pith:2013:KYP7V2TPPKN2DO3PGGHB7MBJBZ

not attested not anchored not stored refs pending

Asymptotic Rate Analysis of Downlink Multi-user Systems with Co-located and Distributed Antennas

Junyuan Wang, Lin Dai

arxiv:1312.0403 v1 · 2013-12-02 · 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{KYP7V2TPPKN2DO3PGGHB7MBJBZ}

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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	2026-05-18T03:05:45.767565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561ffaea6f7a9ba1bb6f318e1fb0290e41d7632358393383d242aa41f9d910bf

Aliases

arxiv: 1312.0403 · arxiv_version: 1312.0403v1 · doi: 10.48550/arxiv.1312.0403 · pith_short_12: KYP7V2TPPKN2 · pith_short_16: KYP7V2TPPKN2DO3P · pith_short_8: KYP7V2TP

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/KYP7V2TPPKN2DO3PGGHB7MBJBZ \
  | 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: 561ffaea6f7a9ba1bb6f318e1fb0290e41d7632358393383d242aa41f9d910bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebef65ed4d96889643b0da51496f4a322166bab70736715d1157833a4ff5ba6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-02T10:32:51Z",
    "title_canon_sha256": "533fa1316235d5a7d136decf514a097eaba1480f4ccb927a7646bf3ee4b026b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0403",
    "kind": "arxiv",
    "version": 1
  }
}