Pith Number

pith:UMNAURS4

pith:2012:UMNAURS4HZJOYYABODKSMLQUYV

not attested not anchored not stored refs pending

Close-Form Design of Antenna-Constrained Multi-Cell Multi-User Downlink Interference Alignment

Haichuan Zhou, Tharm Ratnarajah

arxiv:1211.4275 v1 · 2012-11-18 · 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{UMNAURS4HZJOYYABODKSMLQUYV}

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	2026-05-18T03:40:27.419895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31a0a465c3e52ec600170d5262e14c54754a263cd0fe7223622f3c4efa344a4

Aliases

arxiv: 1211.4275 · arxiv_version: 1211.4275v1 · doi: 10.48550/arxiv.1211.4275 · pith_short_12: UMNAURS4HZJO · pith_short_16: UMNAURS4HZJOYYAB · pith_short_8: UMNAURS4

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/UMNAURS4HZJOYYABODKSMLQUYV \
  | 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: a31a0a465c3e52ec600170d5262e14c54754a263cd0fe7223622f3c4efa344a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abefb26ef12d6bae917e3322a15057f98dda709e87a6e3f3843813d044337d36",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-18T23:47:29Z",
    "title_canon_sha256": "6da7f0ed85515163779604e3eaeaabce942fc6a4447737a3747a3314b7acc141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4275",
    "kind": "arxiv",
    "version": 1
  }
}