Pith Number

pith:ZZSR5UOL

pith:2011:ZZSR5UOL6LPT5XEF46B5RHQB5S

not attested not anchored not stored refs pending

Interference Alignment: From Degrees-of-Freedom to Constant-Gap Capacity Approximations

Mohammad Maddah-Ali, Urs Niesen

arxiv:1112.4879 v3 · 2011-12-20 · 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{ZZSR5UOL6LPT5XEF46B5RHQB5S}

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	2026-05-18T02:21:27.058404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce651ed1cbf2df3edc85e783d89e01ecbe0b584340b6262635ab19d79bc0606f

Aliases

arxiv: 1112.4879 · arxiv_version: 1112.4879v3 · doi: 10.48550/arxiv.1112.4879 · pith_short_12: ZZSR5UOL6LPT · pith_short_16: ZZSR5UOL6LPT5XEF · pith_short_8: ZZSR5UOL

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/ZZSR5UOL6LPT5XEF46B5RHQB5S \
  | 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: ce651ed1cbf2df3edc85e783d89e01ecbe0b584340b6262635ab19d79bc0606f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f8962b09b3137f1ac3068c228dcfaf650ca40c88a341b4d3629a370add2bee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-20T23:22:37Z",
    "title_canon_sha256": "02eef44dc9b6c016f944d3409b097f8d911b50d0f49e55dc047641f885cbd6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4879",
    "kind": "arxiv",
    "version": 3
  }
}