Pith Number

pith:MPWJ3RIZ

pith:2026:MPWJ3RIZ62MY2AICSBQ7A7EYYM

not attested not anchored not stored refs pending

Strong deflection of massive particles via the geodesic deviation equation

Takahisa Igata, Yohsuke Takamori

arxiv:2603.09946 v2 · 2026-03-10 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPWJ3RIZ62MY2AICSBQ7A7EYYM}

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

Strong-deflection expansion of the deflection angle near a degenerate photon sphere

Receipt and verification

First computed	2026-06-12T01:08:23.662335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ec9dc519f6998d01029061f07c98c32b1e3860274e5f55dd472403164b2354

Aliases

arxiv: 2603.09946 · arxiv_version: 2603.09946v2 · doi: 10.48550/arxiv.2603.09946 · pith_short_12: MPWJ3RIZ62MY · pith_short_16: MPWJ3RIZ62MY2AIC · pith_short_8: MPWJ3RIZ

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/MPWJ3RIZ62MY2AICSBQ7A7EYYM \
  | 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: 63ec9dc519f6998d01029061f07c98c32b1e3860274e5f55dd472403164b2354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09c195f0cdb2fa5bc50b116d54b8b2d9b025afde017a2bc992f583e7ee9badd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-10T17:40:47Z",
    "title_canon_sha256": "73ecd3cbf78e87c5b692ce17a4ba44228f49120ffdd1a2cd43a7e2c93176e416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.09946",
    "kind": "arxiv",
    "version": 2
  }
}