Pith Number

pith:5L6LZPEX

pith:2010:5L6LZPEXD5V6REKT5IIRZ2FBYF

not attested not anchored not stored refs pending

The Two-Way Wiretap Channel: Achievable Regions and Experimental Results

Aly El Gamal, Hesham El Gamal, Moustafa Youssef, O. Ozan Koyluoglu

arxiv:1006.0778 v2 · 2010-06-04 · 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{5L6LZPEXD5V6REKT5IIRZ2FBYF}

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	2026-05-18T04:11:51.848905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eafcbcbc971f6be89153ea111ce8a1c1734ff66fcb528735b4c1d04f83e4c251

Aliases

arxiv: 1006.0778 · arxiv_version: 1006.0778v2 · doi: 10.48550/arxiv.1006.0778 · pith_short_12: 5L6LZPEXD5V6 · pith_short_16: 5L6LZPEXD5V6REKT · pith_short_8: 5L6LZPEX

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/5L6LZPEXD5V6REKT5IIRZ2FBYF \
  | 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: eafcbcbc971f6be89153ea111ce8a1c1734ff66fcb528735b4c1d04f83e4c251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4a13f405674db44fdea32bc07f1e9a86ae94fca6e57869027d0b7b9e178411",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-06-04T04:52:26Z",
    "title_canon_sha256": "584c9c78b9b5931a50247b466aa1b76db88cd85e3a7ef7bb0d42f483aea6f36e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0778",
    "kind": "arxiv",
    "version": 2
  }
}