Pith Number

pith:L32KH5QZ

pith:2010:L32KH5QZ3PB4KBXBPWPNJY2QJ2

not attested not anchored not stored refs pending

Network Utility Maximization over Partially Observable Markovian Channels

Chih-ping Li, Michael J. Neely

arxiv:1008.3421 v1 · 2010-08-20 · math.OC · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L32KH5QZ3PB4KBXBPWPNJY2QJ2}

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	2026-05-18T04:42:02.414558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef4a3f619dbc3c506e17d9ed4e3504ead437d6d964d25391f81ed9b04db465f

Aliases

arxiv: 1008.3421 · arxiv_version: 1008.3421v1 · doi: 10.48550/arxiv.1008.3421 · pith_short_12: L32KH5QZ3PB4 · pith_short_16: L32KH5QZ3PB4KBXB · pith_short_8: L32KH5QZ

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/L32KH5QZ3PB4KBXBPWPNJY2QJ2 \
  | 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: 5ef4a3f619dbc3c506e17d9ed4e3504ead437d6d964d25391f81ed9b04db465f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f71f2392fb48fc0e255ac0b1b12419fd00e6f46c932700f75eed20be7950f64",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-08-20T00:43:25Z",
    "title_canon_sha256": "a4334e97103d203135881aab800e1f9d5c51d314c31599bf27e29431c9d79b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3421",
    "kind": "arxiv",
    "version": 1
  }
}