Pith Number

pith:IQLM4XDQ

pith:2026:IQLM4XDQZSUTEBB27CDMPGH6R3

not attested not anchored not stored refs pending

Light rings and optical appearances of naked singularities, solitons, and black holes in beyond Horndeski gravity

Hyat Huang, Jutta Kunz, Rashmi Uniyal, Xiao Qian Wang

arxiv:2605.29974 v1 · 2026-05-28 · 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{IQLM4XDQZSUTEBB27CDMPGH6R3}

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	2026-05-29T02:06:04.683617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4416ce5c70cca932043af886c798fe8ecf4365707f5832f8c54bf70f7a92003b

Aliases

arxiv: 2605.29974 · arxiv_version: 2605.29974v1 · doi: 10.48550/arxiv.2605.29974 · pith_short_12: IQLM4XDQZSUT · pith_short_16: IQLM4XDQZSUTEBB2 · pith_short_8: IQLM4XDQ

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/IQLM4XDQZSUTEBB27CDMPGH6R3 \
  | 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: 4416ce5c70cca932043af886c798fe8ecf4365707f5832f8c54bf70f7a92003b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6af61b5ccb0448c1697156c6915a2104eedac635d3e83a77e0e011e5c728c50",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-28T14:12:16Z",
    "title_canon_sha256": "b5b9c887de918db15d5053ad74ca62323ab109725a354255c6f13a8ce5463d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29974",
    "kind": "arxiv",
    "version": 1
  }
}