Pith Number

pith:CRCZPE6D

pith:2012:CRCZPE6D7RTBKJ4LD3UIUDMOCT

not attested not anchored not stored refs pending

An Auction Approach to Distributed Power Allocation for Multiuser Cooperative Networks

Jianwei Huang, Meixia Tao, Yuan Liu

arxiv:1210.4749 v1 · 2012-10-17 · cs.NI · cs.GT · 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{CRCZPE6D7RTBKJ4LD3UIUDMOCT}

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	2026-05-18T00:58:42.818186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14459793c3fc6615278b1ee88a0d8e14d0bdd8a29366340b16cb98fdf39b17c8

Aliases

arxiv: 1210.4749 · arxiv_version: 1210.4749v1 · doi: 10.48550/arxiv.1210.4749 · pith_short_12: CRCZPE6D7RTB · pith_short_16: CRCZPE6D7RTBKJ4L · pith_short_8: CRCZPE6D

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/CRCZPE6D7RTBKJ4LD3UIUDMOCT \
  | 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: 14459793c3fc6615278b1ee88a0d8e14d0bdd8a29366340b16cb98fdf39b17c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12555019a67163098420825724238b7d95dc7e255abda90e8bb5b809bb85a247",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2012-10-17T14:26:04Z",
    "title_canon_sha256": "413c84af466a00e736a2fd0f08599c7233317998b682b3003c9552b925024a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4749",
    "kind": "arxiv",
    "version": 1
  }
}