Pith Number

pith:2WTBKS4Q

pith:2020:2WTBKS4QHDEINSC5HATRU7ATZJ

not attested not anchored not stored refs pending

Second-order time delay by a radially moving Kerr-Newman black hole

Guansheng He, Wenbin Lin

arxiv:2007.11809 v1 · 2020-07-23 · 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{2WTBKS4QHDEINSC5HATRU7ATZJ}

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.

Cited by

1 paper in Pith

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Receipt and verification

First computed	2026-07-05T01:21:40.650149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a6154b9038c886c85d38271a7c13ca5ee0d06f1058f07a2a11520e67114a8f

Aliases

arxiv: 2007.11809 · arxiv_version: 2007.11809v1 · doi: 10.48550/arxiv.2007.11809 · pith_short_12: 2WTBKS4QHDEI · pith_short_16: 2WTBKS4QHDEINSC5 · pith_short_8: 2WTBKS4Q

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/2WTBKS4QHDEINSC5HATRU7ATZJ \
  | 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: d5a6154b9038c886c85d38271a7c13ca5ee0d06f1058f07a2a11520e67114a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c93dc80a1c810e9c228b5a55f55e22a24bf4d1320ac6b900b3a1df5df10bb75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-23T05:55:33Z",
    "title_canon_sha256": "7eb302762f190aca961e1bfc20a0bfc69b1a327d7754dcdc9fa699940b50e859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.11809",
    "kind": "arxiv",
    "version": 1
  }
}