Pith Number

pith:TGUTL37S

pith:2006:TGUTL37STTTFYI34BKUJGZVH5K

not attested not anchored not stored refs pending

On the Maximum Sum-rate Capacity of Cognitive Multiple Access Channel

Guanding Yu, Hsiao-Hwa Chen, Peiliang Qiu, Peng Cheng, Zhaoyang Zhang

arxiv:cs/0612024 v1 · 2006-12-05 · 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{TGUTL37STTTFYI34BKUJGZVH5K}

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	2026-07-04T15:02:54.490175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a935eff29ce65c237c0aa89366a7ea932320074c220141882c44b0a21834fd

Aliases

arxiv: cs/0612024 · arxiv_version: cs/0612024v1 · doi: 10.48550/arxiv.cs/0612024 · pith_short_12: TGUTL37STTTF · pith_short_16: TGUTL37STTTFYI34 · pith_short_8: TGUTL37S

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/TGUTL37STTTFYI34BKUJGZVH5K \
  | 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: 99a935eff29ce65c237c0aa89366a7ea932320074c220141882c44b0a21834fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac5d4368bd806e7c13ebce75cfc39c9004b26651910f7b25c8436d343dee97b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2006-12-05T05:27:28Z",
    "title_canon_sha256": "f2132e0a972a539957e2bc5784aef36c049b86e250215feafdd89ecbdab83a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0612024",
    "kind": "arxiv",
    "version": 1
  }
}