Pith Number

pith:QVRMU6KW

pith:2011:QVRMU6KWKA7F7NR7KLMJJ2CUYI

not attested not anchored not stored refs pending

Achieving AWGN Channel Capacity with Sparse Graph Modulation and "In the Air" Coupling

Dmitri Truhachev

arxiv:1111.3696 v2 · 2011-11-16 · 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{QVRMU6KWKA7F7NR7KLMJJ2CUYI}

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	2026-05-18T04:07:42.767944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8562ca7956503e5fb63f52d894e854c202779bfe83c823b9693566e0caab4dca

Aliases

arxiv: 1111.3696 · arxiv_version: 1111.3696v2 · doi: 10.48550/arxiv.1111.3696 · pith_short_12: QVRMU6KWKA7F · pith_short_16: QVRMU6KWKA7F7NR7 · pith_short_8: QVRMU6KW

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/QVRMU6KWKA7F7NR7KLMJJ2CUYI \
  | 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: 8562ca7956503e5fb63f52d894e854c202779bfe83c823b9693566e0caab4dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ea8dcb8fcf95558c1cabaeedbe6ecd19bbb8747d130335b1b92130b1a3420d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-16T00:27:23Z",
    "title_canon_sha256": "c1b2291ba1f43fa02bbc9b73a4e362caddaab6544f50a427ca9211092a5075bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3696",
    "kind": "arxiv",
    "version": 2
  }
}