Pith Number

pith:T3SVGEZ6

pith:2007:T3SVGEZ6P6LBT6UM3NLRF2YDC7

not attested not anchored not stored refs pending

Training Optimization for Gauss-Markov Rayleigh Fading Channels

Mustafa Cenk Gursoy, Sami Akin

arxiv:0705.0128 v1 · 2007-05-01 · 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{T3SVGEZ6P6LBT6UM3NLRF2YDC7}

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	2026-05-18T00:58:26.159698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee553133e7f9619fa8cdb5712eb0317f2149a9bb11369157c025c196b0b97e8

Aliases

arxiv: 0705.0128 · arxiv_version: 0705.0128v1 · doi: 10.48550/arxiv.0705.0128 · pith_short_12: T3SVGEZ6P6LB · pith_short_16: T3SVGEZ6P6LBT6UM · pith_short_8: T3SVGEZ6

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/T3SVGEZ6P6LBT6UM3NLRF2YDC7 \
  | 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: 9ee553133e7f9619fa8cdb5712eb0317f2149a9bb11369157c025c196b0b97e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca962ce606f35c347f28f3e6e5a35e5cc3435c5fa551fdbafc0fd75e8814c4d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-05-01T16:04:39Z",
    "title_canon_sha256": "6c3a49a6172998ca1987163e39cdfaf95f6b252568a90d8ce88fc33517fb8889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0128",
    "kind": "arxiv",
    "version": 1
  }
}