Pith Number

pith:VRLNMLZR

pith:2024:VRLNMLZRDYXPHRJEARYQWCZX2O

not attested not anchored not stored refs pending

Fractal signatures of non-Kerr spacetimes in the shadow of light-ring bifurcations

George Pappas, Konstantinos Kostaros, Padelis Papadopoulos

arxiv:2405.09653 v2 · 2024-05-15 · 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{VRLNMLZRDYXPHRJEARYQWCZX2O}

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	2026-07-05T08:40:17.708598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac56d62f311e2ef3c52404710b0b37d3b732e400ef410e6107404b9c0540837b

Aliases

arxiv: 2405.09653 · arxiv_version: 2405.09653v2 · doi: 10.48550/arxiv.2405.09653 · pith_short_12: VRLNMLZRDYXP · pith_short_16: VRLNMLZRDYXPHRJE · pith_short_8: VRLNMLZR

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/VRLNMLZRDYXPHRJEARYQWCZX2O \
  | 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: ac56d62f311e2ef3c52404710b0b37d3b732e400ef410e6107404b9c0540837b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41efe000b05ad01019c542e7aa15d6afa00236c959f68714c33cc9cff20d68f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-15T18:43:57Z",
    "title_canon_sha256": "fe5916124a1b768f01fb26ab1df5c059efac8c64818d7ddb9964a98a5e10d183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09653",
    "kind": "arxiv",
    "version": 2
  }
}