Pith Number

pith:45LPYALN

pith:2015:45LPYALNNJF3EEHO6K5WQ2J23V

not attested not anchored not stored refs pending

Energy Group-Buying with Loading Sharing for Green Cellular Networks

Jie Xu, Lingjie Duan, Rui Zhang

arxiv:1508.06093 v2 · 2015-08-25 · cs.IT · cs.GT · cs.NI · 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{45LPYALNNJF3EEHO6K5WQ2J23V}

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	2026-05-18T00:58:35.115940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e756fc016d6a4bb210eef2bb68693add7382b197e1c3799ae7e6157ce09654a7

Aliases

arxiv: 1508.06093 · arxiv_version: 1508.06093v2 · doi: 10.48550/arxiv.1508.06093 · pith_short_12: 45LPYALNNJF3 · pith_short_16: 45LPYALNNJF3EEHO · pith_short_8: 45LPYALN

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/45LPYALNNJF3EEHO6K5WQ2J23V \
  | 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: e756fc016d6a4bb210eef2bb68693add7382b197e1c3799ae7e6157ce09654a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa72874165d7a7b5845f83de016af5b8e14190fe31727fdb3661e6957bc5a81",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-25T10:03:59Z",
    "title_canon_sha256": "3e417cbacb15f04303f45feb1f49cf7bd51283eb219bc141d4ea9dbcf38e9106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06093",
    "kind": "arxiv",
    "version": 2
  }
}