Pith Number

pith:Q4TRRXB3

pith:2025:Q4TRRXB3IFBU66TX77XRLPTYNI

not attested not anchored not stored refs pending

How black hole mimickers and Shapiro-free lenses signal effective dark matter

Amel Durakovic, Lirui Yang, Tobias Mistele, Will Barker

arxiv:2504.20144 v2 · 2025-04-28 · gr-qc · astro-ph.CO · astro-ph.GA · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4TRRXB3IFBU66TX77XRLPTYNI}

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	2026-07-05T11:17:45.015433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872718dc3b41434f7a77ffef15be786a31b0f49cd8949838141ab45028ed432a

Aliases

arxiv: 2504.20144 · arxiv_version: 2504.20144v2 · doi: 10.48550/arxiv.2504.20144 · pith_short_12: Q4TRRXB3IFBU · pith_short_16: Q4TRRXB3IFBU66TX · pith_short_8: Q4TRRXB3

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/Q4TRRXB3IFBU66TX77XRLPTYNI \
  | 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: 872718dc3b41434f7a77ffef15be786a31b0f49cd8949838141ab45028ed432a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e64c82e1674ec7180ac6cc19b45ccbfd5c8948c2080b1618ba972e841e7011",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-28T18:00:04Z",
    "title_canon_sha256": "b6c98f32210e78096fda3f78d63f21442d22bd9410a2a8c99418d9ac81344e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20144",
    "kind": "arxiv",
    "version": 2
  }
}