Pith Number

pith:5THOUZ67

pith:2019:5THOUZ6757N63YBGFIAFJLCFKT

not attested not anchored not stored refs pending

Gravitational Lensing of Gravitational Waves: Rotation of Polarization Plane

Shaoqi Hou, Xi-Long Fan, Zong-Hong Zhu

arxiv:1907.07486 v2 · 2019-07-17 · 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{5THOUZ6757N63YBGFIAFJLCFKT}

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	2026-07-05T00:05:24.683730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecceea67dfefdbede0262a0054ac4554e9d1ef14b3db754eea51ad4cedd5d0ca

Aliases

arxiv: 1907.07486 · arxiv_version: 1907.07486v2 · doi: 10.48550/arxiv.1907.07486 · pith_short_12: 5THOUZ6757N6 · pith_short_16: 5THOUZ6757N63YBG · pith_short_8: 5THOUZ67

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/5THOUZ6757N63YBGFIAFJLCFKT \
  | 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: ecceea67dfefdbede0262a0054ac4554e9d1ef14b3db754eea51ad4cedd5d0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8f67d7c1db8ca02299a2bc291d3b92c0d9151e4d0e03024dd38fe7302d2106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-17T12:54:39Z",
    "title_canon_sha256": "a4c34db545c8686991446961b2445098e1f443aa1748bb661a402d748af5eb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07486",
    "kind": "arxiv",
    "version": 2
  }
}