Pith Number

pith:4WOOTJUF

pith:2024:4WOOTJUFHG5QLM3GXLVVLQRKAJ

not attested not anchored not stored refs pending

Gravitational Energy Creation in the Sandwich pp-Waves Collision

F. L. Carneiro, K. Q. Abbasi

arxiv:2412.20527 v2 · 2024-12-29 · 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{4WOOTJUFHG5QLM3GXLVVLQRKAJ}

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	2026-06-04T00:06:42.868918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59ce9a68539bb05b366baeb55c22a0261ac17eaf18b4f8ed0bd076bed7b63d3

Aliases

arxiv: 2412.20527 · arxiv_version: 2412.20527v2 · doi: 10.48550/arxiv.2412.20527 · pith_short_12: 4WOOTJUFHG5Q · pith_short_16: 4WOOTJUFHG5QLM3G · pith_short_8: 4WOOTJUF

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/4WOOTJUFHG5QLM3GXLVVLQRKAJ \
  | 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: e59ce9a68539bb05b366baeb55c22a0261ac17eaf18b4f8ed0bd076bed7b63d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60f2468df715b2367a6cba2856f2d4a279b2744836b689b42e535a2c8807fbf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-29T17:25:47Z",
    "title_canon_sha256": "59284f14dd5757c7cc6a4b8e42e1b15fc58dbf4b58c87d1867f828c58d0fa1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20527",
    "kind": "arxiv",
    "version": 2
  }
}