Pith Number

pith:QJR3Y4PB

pith:2011:QJR3Y4PB73EOA755W7TYKRXA44

not attested not anchored not stored refs pending

Minimum-Energy All-to-All Multicasting in Multi-hop Wireless Networks

Jun Luo, Kai Han, Yang Liu

arxiv:1109.5244 v2 · 2011-09-24 · 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{QJR3Y4PB73EOA755W7TYKRXA44}

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	2026-05-18T04:02:37.390686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8263bc71e1fec8e07fbdb7e78546e0e7117467d0cccbdbc59072c104b4920303

Aliases

arxiv: 1109.5244 · arxiv_version: 1109.5244v2 · doi: 10.48550/arxiv.1109.5244 · pith_short_12: QJR3Y4PB73EO · pith_short_16: QJR3Y4PB73EOA755 · pith_short_8: QJR3Y4PB

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/QJR3Y4PB73EOA755W7TYKRXA44 \
  | 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: 8263bc71e1fec8e07fbdb7e78546e0e7117467d0cccbdbc59072c104b4920303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836d438f7cd326722b17a65421a977771e7ce8f02925b635dd6bfdd7fbd95d8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-09-24T08:44:13Z",
    "title_canon_sha256": "cbf4756a0a31b40c75ffa4efd564a9a57ca0d8e03fb7b588585cf7c2b3f18e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5244",
    "kind": "arxiv",
    "version": 2
  }
}