Pith Number

pith:HU752ZD6

pith:2024:HU752ZD64X2PLPLF5YZG2LIO7H

not attested not anchored not stored refs pending

Gravitational lensing in a plasma from worldlines

Francesco Comberiati, Leonardo de la Cruz

arxiv:2412.14126 v2 · 2024-12-18 · hep-th · astro-ph.CO · 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{HU752ZD64X2PLPLF5YZG2LIO7H}

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

Wave-optics gravitational wave lensing in modified gravity

Receipt and verification

First computed	2026-07-05T10:48:23.207236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3fdd647ee5f4f5bd65ee326d2d0ef9ea65904b301e9c358ec199ce23ee4163

Aliases

arxiv: 2412.14126 · arxiv_version: 2412.14126v2 · doi: 10.48550/arxiv.2412.14126 · pith_short_12: HU752ZD64X2P · pith_short_16: HU752ZD64X2PLPLF · pith_short_8: HU752ZD6

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/HU752ZD64X2PLPLF5YZG2LIO7H \
  | 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: 3d3fdd647ee5f4f5bd65ee326d2d0ef9ea65904b301e9c358ec199ce23ee4163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1144a69057dfaf60f37fec01bef08b25756daefe36c1032cd7047caf54daad12",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-18T18:14:47Z",
    "title_canon_sha256": "e46f62df34fa5636b25baac8375fb56c01f7d2598d0dc9683ffd9f763b3c7446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14126",
    "kind": "arxiv",
    "version": 2
  }
}