Pith Number

pith:NHGVF7QL

pith:2014:NHGVF7QLDFFLPFDQY6EUGEB7YG

not attested not anchored not stored refs pending

Optimal Pricing and Load Sharing for Energy Saving in Communications Cooperation

Lingjie Duan, Rui Zhang, Yinghao Guo

arxiv:1409.8402 v4 · 2014-09-30 · 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{NHGVF7QLDFFLPFDQY6EUGEB7YG}

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	2026-05-18T01:35:57.159975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69cd52fe0b194ab79470c78943103fc1825ca86a92b8edc0da1195fe72ee3941

Aliases

arxiv: 1409.8402 · arxiv_version: 1409.8402v4 · doi: 10.48550/arxiv.1409.8402 · pith_short_12: NHGVF7QLDFFL · pith_short_16: NHGVF7QLDFFLPFDQ · pith_short_8: NHGVF7QL

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/NHGVF7QLDFFLPFDQY6EUGEB7YG \
  | 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: 69cd52fe0b194ab79470c78943103fc1825ca86a92b8edc0da1195fe72ee3941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8b4951f2f4e3b0e8d8624010c14ba9ceebf2fdb4968b8416067c318ba8f77f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-30T06:39:40Z",
    "title_canon_sha256": "8cb8ec6440868ca36716e99f7797111379aa7a436350f3ddca6ed74fcc14cd4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8402",
    "kind": "arxiv",
    "version": 4
  }
}