Pith Number

pith:B5D6HYKS

pith:2010:B5D6HYKSYY62WCI33WAWP2L3IG

not attested not anchored not stored refs pending

Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant

Jiri Podolsky, Robert Svarc

arxiv:1005.4613 v2 · 2010-05-25 · 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{B5D6HYKSYY62WCI33WAWP2L3IG}

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	2026-05-18T04:32:46.396244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f47e3e152c63dab091bdd8167e97b418ded730402e4e5111376c233eba8133b

Aliases

arxiv: 1005.4613 · arxiv_version: 1005.4613v2 · doi: 10.48550/arxiv.1005.4613 · pith_short_12: B5D6HYKSYY62 · pith_short_16: B5D6HYKSYY62WCI3 · pith_short_8: B5D6HYKS

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/B5D6HYKSYY62WCI33WAWP2L3IG \
  | 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: 0f47e3e152c63dab091bdd8167e97b418ded730402e4e5111376c233eba8133b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b3cf47c61de56bd47cbcd1ede2257acb093abd36c9b1f597f74e5f32a03201",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-25T16:02:35Z",
    "title_canon_sha256": "58eae42d213f485cf6dff4c9512d66845fb428f90f395caef8d93470b4a701de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4613",
    "kind": "arxiv",
    "version": 2
  }
}