Pith Number

pith:C4ZES7KF

pith:2011:C4ZES7KFP3OU7ANT7WYQU45RCG

not attested not anchored not stored refs pending

Distributive Network Utility Maximization (NUM) over Time-Varying Fading Channels

Junting Chen, Vincent K. N. Lau, Yong Cheng

arxiv:1101.0461 v3 · 2011-01-03 · 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{C4ZES7KFP3OU7ANT7WYQU45RCG}

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	2026-05-18T02:23:05.730444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1732497d457edd4f81b3fdb10a73b1118f4ff246566b911cdf016c1f7a4e751f

Aliases

arxiv: 1101.0461 · arxiv_version: 1101.0461v3 · doi: 10.48550/arxiv.1101.0461 · pith_short_12: C4ZES7KFP3OU · pith_short_16: C4ZES7KFP3OU7ANT · pith_short_8: C4ZES7KF

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/C4ZES7KFP3OU7ANT7WYQU45RCG \
  | 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: 1732497d457edd4f81b3fdb10a73b1118f4ff246566b911cdf016c1f7a4e751f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08cb8b7031082acd1d9ade2366b7bfec19dfcbfab5b5f9ea156464de9857178",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-03T07:36:50Z",
    "title_canon_sha256": "7e3b1c0803c6b079ba47d717ea5c636a076dcf85f30bf4a7c6c9da822f534f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0461",
    "kind": "arxiv",
    "version": 3
  }
}