Pith Number

pith:ZA7HQJ7K

pith:2010:ZA7HQJ7KZOCA5UV27MA6TLAVYN

not attested not anchored not stored refs pending

Robust Linear Precoder Design for Multi-cell Downlink Transmission

Ali Tajer, Narayan Prasad, Xiaodong Wang

arxiv:1009.5146 v1 · 2010-09-27 · 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{ZA7HQJ7KZOCA5UV27MA6TLAVYN}

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	2026-05-18T02:05:17.042548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83e7827eacb840ed2bafb01e9ac15c34810e83d88476e284369934cfc3d31f2

Aliases

arxiv: 1009.5146 · arxiv_version: 1009.5146v1 · doi: 10.48550/arxiv.1009.5146 · pith_short_12: ZA7HQJ7KZOCA · pith_short_16: ZA7HQJ7KZOCA5UV2 · pith_short_8: ZA7HQJ7K

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/ZA7HQJ7KZOCA5UV27MA6TLAVYN \
  | 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: c83e7827eacb840ed2bafb01e9ac15c34810e83d88476e284369934cfc3d31f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630256a80c134ccb2c4783c377c6d9a8468aeb239794e436ae17136f7dfe7937",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-27T02:57:27Z",
    "title_canon_sha256": "45a060ee0ad4f45082c196eeb407606af82a80dc351a2160990192bc45737fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5146",
    "kind": "arxiv",
    "version": 1
  }
}