Pith Number

pith:KIO45SRE

pith:2011:KIO45SREEEQQQP7WY5KMGULBED

not attested not anchored not stored refs pending

Jointly Optimal Channel and Power Assignment for Dual-Hop Multi-channel Multi-user Relaying

Ben Liang, Mahdi Hajiaghayi, Min Dong

arxiv:1102.5314 v4 · 2011-02-25 · cs.IT · cs.PF · 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{KIO45SREEEQQQP7WY5KMGULBED}

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	2026-05-18T00:57:57.443619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521dceca242121083ff6c754c3516120d7e6521e52b4c0136cbc362262869f24

Aliases

arxiv: 1102.5314 · arxiv_version: 1102.5314v4 · doi: 10.48550/arxiv.1102.5314 · pith_short_12: KIO45SREEEQQ · pith_short_16: KIO45SREEEQQQP7W · pith_short_8: KIO45SRE

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/KIO45SREEEQQQP7WY5KMGULBED \
  | 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: 521dceca242121083ff6c754c3516120d7e6521e52b4c0136cbc362262869f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302e0c118d3da6582be5bd5c044c67b6fe6b5b65aef509c9c2a83a896bd059f7",
    "cross_cats_sorted": [
      "cs.PF",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-25T19:13:22Z",
    "title_canon_sha256": "b32ba3e5cf4dd49cfa96227263f3ac6976158fe54bb1f5ec238f5233b3a95ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5314",
    "kind": "arxiv",
    "version": 4
  }
}