Pith Number

pith:336WGLPQ

pith:2020:336WGLPQME2NSQZ7XPK6K3KPE2

not attested not anchored not stored refs pending

Lensing magnification: gravitational waves from coalescing stellar-mass binary black holes

Bin Hu, Chengliang Wei, Xikai Shan

arxiv:2012.08381 v3 · 2020-12-15 · astro-ph.CO · astro-ph.HE · 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{336WGLPQME2NSQZ7XPK6K3KPE2}

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	2026-07-05T03:15:30.126727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defd632df06134d9433fbbd5e56d4f2689317999ba1dffae56cb7b9334c3d8c8

Aliases

arxiv: 2012.08381 · arxiv_version: 2012.08381v3 · doi: 10.48550/arxiv.2012.08381 · pith_short_12: 336WGLPQME2N · pith_short_16: 336WGLPQME2NSQZ7 · pith_short_8: 336WGLPQ

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/336WGLPQME2NSQZ7XPK6K3KPE2 \
  | 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: defd632df06134d9433fbbd5e56d4f2689317999ba1dffae56cb7b9334c3d8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3daacfb6c9c12fd5c962fe86fe1eb085920b0b2e041c3ffa9f529afd08c8e91",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-12-15T15:52:55Z",
    "title_canon_sha256": "8f2856b5fc3f69680a7e15f42a0f2c3f9d099f3be42d8e51e15fa578dc987e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08381",
    "kind": "arxiv",
    "version": 3
  }
}