Pith Number

pith:HWVOG332

pith:2018:HWVOG332V7RDPZ3PHY635KBEZA

not attested not anchored not stored refs pending

Game-Theoretic Spectrum Trading in RF Relay-Assisted Free-Space Optical Communications

Majid Safari, Shenjie Huang, Vahid Shah-Mansouri

arxiv:1806.10464 v1 · 2018-06-27 · cs.IT · cs.GT · 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{HWVOG332V7RDPZ3PHY635KBEZA}

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	2026-05-18T00:12:12.351667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3daae36f7aafe237e76f3e3dbea824c80e2b299196ffe9707e2969e9d5e47361

Aliases

arxiv: 1806.10464 · arxiv_version: 1806.10464v1 · doi: 10.48550/arxiv.1806.10464 · pith_short_12: HWVOG332V7RD · pith_short_16: HWVOG332V7RDPZ3P · pith_short_8: HWVOG332

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/HWVOG332V7RDPZ3PHY635KBEZA \
  | 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: 3daae36f7aafe237e76f3e3dbea824c80e2b299196ffe9707e2969e9d5e47361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8514daaca54154a6508841a9a5904898cc1ee1624e2df5039e0cf2393d04c8a9",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-27T13:21:48Z",
    "title_canon_sha256": "64c1ad360372cecbef977135394749c746bf3617ecd342fefeccf68375137552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10464",
    "kind": "arxiv",
    "version": 1
  }
}