Pith Number

pith:HH6KNFI6

pith:2026:HH6KNFI6FOQ7AJ4YJHQ335TI2B

not attested not anchored not stored refs pending

Ray tracing ultracompact boson stars: visibility modulations and incomplete photon rings

Ece Alkan, Seppe J. Staelens

arxiv:2606.30729 v1 · 2026-06-29 · 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{HH6KNFI6FOQ7AJ4YJHQ335TI2B}

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	2026-07-01T00:17:14.999188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fca6951e2ba1f0279849e1bdf668d05bb284e3023094a4ff26fdac2818cd51

Aliases

arxiv: 2606.30729 · arxiv_version: 2606.30729v1 · doi: 10.48550/arxiv.2606.30729 · pith_short_12: HH6KNFI6FOQ7 · pith_short_16: HH6KNFI6FOQ7AJ4Y · pith_short_8: HH6KNFI6

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/HH6KNFI6FOQ7AJ4YJHQ335TI2B \
  | 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: 39fca6951e2ba1f0279849e1bdf668d05bb284e3023094a4ff26fdac2818cd51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9402720af39807668a0dc0a284a1fc20dc8657d26a438088dbc845696d8740",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-29T18:00:03Z",
    "title_canon_sha256": "7a5c336810a8c4e91965c27c23c39d3e8bb3b75f1b1a2624b6a6de79f6377992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30729",
    "kind": "arxiv",
    "version": 1
  }
}