Pith Number

pith:CLORYT23

pith:2015:CLORYT23FRIO5YD22FOJGRHW4E

not attested not anchored not stored refs pending

QoS Guaranteed Energy Minimization Over Two-Way Relaying Networks

Pin-Han Ho, Zhi Chen

arxiv:1512.03982 v3 · 2015-12-13 · 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{CLORYT23FRIO5YD22FOJGRHW4E}

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	2026-05-18T00:58:34.452204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dd1c4f5b2c50eee07ad15c9344f6e13ea228722ca9d3501b3fd539b160dcaa

Aliases

arxiv: 1512.03982 · arxiv_version: 1512.03982v3 · doi: 10.48550/arxiv.1512.03982 · pith_short_12: CLORYT23FRIO · pith_short_16: CLORYT23FRIO5YD2 · pith_short_8: CLORYT23

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/CLORYT23FRIO5YD22FOJGRHW4E \
  | 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: 12dd1c4f5b2c50eee07ad15c9344f6e13ea228722ca9d3501b3fd539b160dcaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d17b49c22487dfc3abdf2b71d8062768c6c1c159d9e346a8d3bf8bedb0d0ff9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-13T01:44:33Z",
    "title_canon_sha256": "839fdbad9fc05f805a85c83fbe0c677e63f6fd740d3ecb3ebb628a51721164de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03982",
    "kind": "arxiv",
    "version": 3
  }
}