Pith Number

pith:AYTBDXD5

pith:2012:AYTBDXD54UBAT6YEUYUTCFVGAL

not attested not anchored not stored refs pending

Capacity Pre-Log of Noncoherent SIMO Channels via Hironaka's Theorem

Bernd Sturmfels, Erwin Riegler, Giuseppe Durisi, Helmut B\"olcskei, Shaowei Lin, Veniamin I. Morgenshtern, Wei Yang

arxiv:1204.2775 v2 · 2012-04-12 · 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{AYTBDXD54UBAT6YEUYUTCFVGAL}

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	2026-05-18T03:32:05.606605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062611dc7de50209fb04a6293116a602dd5cd709486ac222c334c97b7272c841

Aliases

arxiv: 1204.2775 · arxiv_version: 1204.2775v2 · doi: 10.48550/arxiv.1204.2775 · pith_short_12: AYTBDXD54UBA · pith_short_16: AYTBDXD54UBAT6YE · pith_short_8: AYTBDXD5

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/AYTBDXD54UBAT6YEUYUTCFVGAL \
  | 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: 062611dc7de50209fb04a6293116a602dd5cd709486ac222c334c97b7272c841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b9d6e444d958867b6c87ea0cdd60ba491fc01ee62139b292e0391cf902618e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-04-12T17:22:09Z",
    "title_canon_sha256": "67e2b9aa12ff47a5750075efd099c5b76153743dca59de3d94bf3bb0af72628b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2775",
    "kind": "arxiv",
    "version": 2
  }
}