Pith Number

pith:XX3LDM7P

pith:2025:XX3LDM7PIPWKJBRJUME4RKT3RA

not attested not anchored not stored refs pending

Leading-order deflection of particles by a moving Schwarzschild lens with a two-dimensional velocity

Ghulam Mustafa, Guansheng He, Wenbin Lin, Xuan Wang

arxiv:2503.17164 v1 · 2025-03-21 · 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{XX3LDM7PIPWKJBRJUME4RKT3RA}

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	2026-07-05T10:44:43.588879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf6b1b3ef43eca48629a309c8aa7b8835e934633d942a8e4a311318d742399e

Aliases

arxiv: 2503.17164 · arxiv_version: 2503.17164v1 · doi: 10.48550/arxiv.2503.17164 · pith_short_12: XX3LDM7PIPWK · pith_short_16: XX3LDM7PIPWKJBRJ · pith_short_8: XX3LDM7P

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/XX3LDM7PIPWKJBRJUME4RKT3RA \
  | 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: bdf6b1b3ef43eca48629a309c8aa7b8835e934633d942a8e4a311318d742399e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c74a9cc4dbae9089e61143eeddf892dffb04bf0a296db2b4374333cffb48835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-21T14:08:11Z",
    "title_canon_sha256": "176ea74b8c4e465f41f756af3b5bd9c2fe2ddfdbd5905104a5bc78a92fb7ea31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17164",
    "kind": "arxiv",
    "version": 1
  }
}