Pith Number

pith:BHU3247N

pith:2010:BHU3247NV3KL22NOZSWP2EBT6R

not attested not anchored not stored refs pending

Towards the Capacity Region of Multiplicative Linear Operator Broadcast Channels

Thomas Honold, Yimin Pang

arxiv:1012.5774 v2 · 2010-12-28 · cs.IT · math.AG · 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{BHU3247NV3KL22NOZSWP2EBT6R}

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	2026-05-18T04:22:02.179149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e9bd73edaed4bd69aeccacfd1033f478a4f1f4971f7998c8fb7d6437e64593

Aliases

arxiv: 1012.5774 · arxiv_version: 1012.5774v2 · doi: 10.48550/arxiv.1012.5774 · pith_short_12: BHU3247NV3KL · pith_short_16: BHU3247NV3KL22NO · pith_short_8: BHU3247N

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/BHU3247NV3KL22NOZSWP2EBT6R \
  | 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: 09e9bd73edaed4bd69aeccacfd1033f478a4f1f4971f7998c8fb7d6437e64593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787616dd44e14afb032b963f069bc6583861322c7b725c8aa369e7bc2b5966e2",
    "cross_cats_sorted": [
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-28T14:57:17Z",
    "title_canon_sha256": "046866d619b21514f97231bd6ecaecf773cf7d8c82cdfaef8fd491f4842410e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5774",
    "kind": "arxiv",
    "version": 2
  }
}