Pith Number

pith:TDMG4NNH

pith:2026:TDMG4NNHGDGORELJQ5ARI2UCYH

not attested not anchored not stored refs pending

Optical Landscapes and High-Energy Collisions in Hairy Horndeski Gravity

Filipe Cattete Alves, Rodrigo Maier

arxiv:2608.00238 v1 · 2026-07-31 · 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{TDMG4NNHGDGORELJQ5ARI2UCYH}

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	2026-08-04T00:34:27.511858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d86e35a730cce891698741146a82c1e9684b24c35f0f18217705a8e2198e23

Aliases

arxiv: 2608.00238 · arxiv_version: 2608.00238v1 · doi: 10.48550/arxiv.2608.00238 · pith_short_12: TDMG4NNHGDGO · pith_short_16: TDMG4NNHGDGORELJ · pith_short_8: TDMG4NNH

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/TDMG4NNHGDGORELJQ5ARI2UCYH \
  | 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: 98d86e35a730cce891698741146a82c1e9684b24c35f0f18217705a8e2198e23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e75bdaad3a4e86019e78912459373dd90c2af38d54ab26992e91fccb1ec32a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-31T19:33:07Z",
    "title_canon_sha256": "fddffe4a1f533b5b333f37ebefef1d6185fbe21bedeb174660b967867d3cc18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00238",
    "kind": "arxiv",
    "version": 1
  }
}