Pith Number

pith:HFPIEIDY

pith:2005:HFPIEIDYMCZJJ5ER6VTVOEUG47

not attested not anchored not stored refs pending

A Single-letter Upper Bound for the Sum Rate of Multiple Access Channels with Correlated Sources

S. Ulukus, W. Kang

arxiv:cs/0511096 v1 · 2005-11-28 · 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{HFPIEIDYMCZJJ5ER6VTVOEUG47}

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	2026-07-04T15:03:00.927806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395e82207860b294f491f567571286e7f05ab2acfe852970e2a5bdb93594ffb6

Aliases

arxiv: cs/0511096 · arxiv_version: cs/0511096v1 · doi: 10.48550/arxiv.cs/0511096 · pith_short_12: HFPIEIDYMCZJ · pith_short_16: HFPIEIDYMCZJJ5ER · pith_short_8: HFPIEIDY

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/HFPIEIDYMCZJJ5ER6VTVOEUG47 \
  | 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: 395e82207860b294f491f567571286e7f05ab2acfe852970e2a5bdb93594ffb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1d0d9402066be5f51d0aefffbef5362c19bc241d951a71268f1d416e1998cc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-11-28T18:37:55Z",
    "title_canon_sha256": "513c654a9656256d64b7579634bf87f2083d4036167dc39ef6c4daa828e775fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0511096",
    "kind": "arxiv",
    "version": 1
  }
}