Pith Number

pith:FUQVTUU5

pith:2015:FUQVTUU5E52UXHRNGMT5WXRC37

not attested not anchored not stored refs pending

On MMSE Properties of Codes for the Gaussian Broadcast and Wiretap Channels

H. Vincent Poor, Rafael F. Schaefer, Ronit Bustin, Shlomo Shamai

arxiv:1501.05994 v2 · 2015-01-24 · 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{FUQVTUU5E52UXHRNGMT5WXRC37}

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	2026-05-18T02:26:12.374342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2159d29d27754b9e2d3327db5e22dfe00662f5d5ade3dafb9c37707cc985fa

Aliases

arxiv: 1501.05994 · arxiv_version: 1501.05994v2 · doi: 10.48550/arxiv.1501.05994 · pith_short_12: FUQVTUU5E52U · pith_short_16: FUQVTUU5E52UXHRN · pith_short_8: FUQVTUU5

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/FUQVTUU5E52UXHRNGMT5WXRC37 \
  | 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: 2d2159d29d27754b9e2d3327db5e22dfe00662f5d5ade3dafb9c37707cc985fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78dc2ce391dfbcf49dfd9d72b413ba1fe8db641e165750d13f22cd9e453139e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-24T03:07:38Z",
    "title_canon_sha256": "3114e850822cf8653bf434ca6e74425af84e04179dd0db937c111d588a20eb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05994",
    "kind": "arxiv",
    "version": 2
  }
}