Pith Number

pith:VOYXB2P2

pith:2018:VOYXB2P2GDGNF3F62QTU5XLVSG

not attested not anchored not stored refs pending

The minimum and maximum gravitational-wave background from supermassive binary black holes

Eric Thrane, Weiguang Cui, Xing-Jiang Zhu

arxiv:1806.02346 v3 · 2018-06-06 · astro-ph.GA · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOYXB2P2GDGNF3F62QTU5XLVSG}

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	2026-05-17T23:56:58.454924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb170e9fa30ccd2ecbed4274edd7591a7065b14771c6f94e7f456c15d6acdd5

Aliases

arxiv: 1806.02346 · arxiv_version: 1806.02346v3 · doi: 10.48550/arxiv.1806.02346 · pith_short_12: VOYXB2P2GDGN · pith_short_16: VOYXB2P2GDGNF3F6 · pith_short_8: VOYXB2P2

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/VOYXB2P2GDGNF3F62QTU5XLVSG \
  | 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: abb170e9fa30ccd2ecbed4274edd7591a7065b14771c6f94e7f456c15d6acdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0784605faa4b89aefb6b7912345cc0cfbceedd2e9548ed618382ffa1df79b6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-06-06T18:00:01Z",
    "title_canon_sha256": "d7f1dc6189582fbb0e7666a77dcba4760e06d754bc653cdb71b9cc98875c3ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02346",
    "kind": "arxiv",
    "version": 3
  }
}