Pith Number

pith:V4BWVNIS

pith:2026:V4BWVNISOPFYCS4LP3PSWM5PER

not attested not anchored not stored refs pending

The Capacity Region for Classes of Sum-Broadcast Channels

Amin Gohari, Chandra Nair, Yi Liu

arxiv:2606.12839 v1 · 2026-06-11 · 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{V4BWVNISOPFYCS4LP3PSWM5PER}

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	2026-06-12T01:08:53.580867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af036ab51273cb814b8b7edf2b33af247fbaa7194d8becef2eda06310e2c16ce

Aliases

arxiv: 2606.12839 · arxiv_version: 2606.12839v1 · doi: 10.48550/arxiv.2606.12839 · pith_short_12: V4BWVNISOPFY · pith_short_16: V4BWVNISOPFYCS4L · pith_short_8: V4BWVNIS

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/V4BWVNISOPFYCS4LP3PSWM5PER \
  | 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: af036ab51273cb814b8b7edf2b33af247fbaa7194d8becef2eda06310e2c16ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56673432298a867b2ac54bb2564cce218341575d44b9c8ddea4c379a25222777",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-11T03:04:41Z",
    "title_canon_sha256": "573a91cf839634e6b90dda3ca67fd9394de3c086bab42ffe17f20f53a0cc071a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12839",
    "kind": "arxiv",
    "version": 1
  }
}