Pith Number

pith:K2IIVCMH

pith:2013:K2IIVCMHALAMPNMHPHJ3HYAKW2

not attested not anchored not stored refs pending

Establishing a universal relation between gravitational waves and black hole lensing

Shao-Wen Wei, Yu-Xiao Liu

arxiv:1309.6375 v1 · 2013-09-25 · 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{K2IIVCMHALAMPNMHPHJ3HYAKW2}

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	2026-05-18T02:57:52.575013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56908a898702c0c7b58779d3b3e00ab6be24aca540a7b5edddbaec07572c9a02

Aliases

arxiv: 1309.6375 · arxiv_version: 1309.6375v1 · doi: 10.48550/arxiv.1309.6375 · pith_short_12: K2IIVCMHALAM · pith_short_16: K2IIVCMHALAMPNMH · pith_short_8: K2IIVCMH

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/K2IIVCMHALAMPNMHPHJ3HYAKW2 \
  | 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: 56908a898702c0c7b58779d3b3e00ab6be24aca540a7b5edddbaec07572c9a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d40c90e60f2b176d45d0dc77b9f4858ba7ce03f1e8603503f50693c7b7fdd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-25T00:47:02Z",
    "title_canon_sha256": "09b20cf1832a38edb18630f5a5d7937b0eb0664e1435c6f35f1f91786053c728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6375",
    "kind": "arxiv",
    "version": 1
  }
}