Pith Number

pith:M4ZOL7GC

pith:2007:M4ZOL7GC5JCL3WVOBDOMNDXHFU

not attested not anchored not stored refs pending

An Energy Efficiency Perspective on Training for Fading Channels

Mustafa Cenk Gursoy

arxiv:0705.0123 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{M4ZOL7GC5JCL3WVOBDOMNDXHFU}

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	2026-05-18T00:58:26.175718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6732e5fcc2ea44bddaae08dcc68ee72d1289d3c29a7dececc3c5399c1188cac1

Aliases

arxiv: 0705.0123 · arxiv_version: 0705.0123v1 · doi: 10.48550/arxiv.0705.0123 · pith_short_12: M4ZOL7GC5JCL · pith_short_16: M4ZOL7GC5JCL3WVO · pith_short_8: M4ZOL7GC

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/M4ZOL7GC5JCL3WVOBDOMNDXHFU \
  | 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: 6732e5fcc2ea44bddaae08dcc68ee72d1289d3c29a7dececc3c5399c1188cac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e796ae5386694d9ec28f72cd0afbd33e7fd9f9c51ffb222f408cb27c37926a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-05-01T15:27:41Z",
    "title_canon_sha256": "8547a6969553b5788152d074be0973fed8e971369b6896b322af627e2c3f076d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0123",
    "kind": "arxiv",
    "version": 1
  }
}