Pith Number

pith:7WC76AME

pith:2015:7WC76AMEIPC44ITK32SFH7MYXS

not attested not anchored not stored refs pending

Pricing-based Distributed Energy-Efficient Beamforming for MISO Interference Channels

Chen Ming, Huang Nuo, Pan Cunhua, Ren Hong, Wang Jiangzhou, Xu Wei, Zhang Wence

arxiv:1512.04999 v1 · 2015-12-15 · 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{7WC76AMEIPC44ITK32SFH7MYXS}

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	2026-05-18T01:24:13.757794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd85ff018443c5ce226adea453fd98bca0542ebea43715bd2261cd30d54e5166

Aliases

arxiv: 1512.04999 · arxiv_version: 1512.04999v1 · doi: 10.48550/arxiv.1512.04999 · pith_short_12: 7WC76AMEIPC4 · pith_short_16: 7WC76AMEIPC44ITK · pith_short_8: 7WC76AME

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/7WC76AMEIPC44ITK32SFH7MYXS \
  | 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: fd85ff018443c5ce226adea453fd98bca0542ebea43715bd2261cd30d54e5166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb668e14bd459650d1392391b435ca72dd4dea58cac8281a7fbea7a8267719ae",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-15T22:41:36Z",
    "title_canon_sha256": "ed92b0e13c80db4dd5e28cfb18b83e7a89a4b7e76fdac67d470031eea2b1e2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04999",
    "kind": "arxiv",
    "version": 1
  }
}