Pith Number

pith:WZUUR6FT

pith:2025:WZUUR6FTXDGGNTKZWRBQ7U35VN

not attested not anchored not stored refs pending

Black hole solutions with a linear equation of state in Ho\v{r}ava gravity and Einstein--{\ae}ther theory

Milko Estrada

arxiv:2512.20445 v2 · 2025-12-23 · 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{WZUUR6FTXDGGNTKZWRBQ7U35VN}

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	2026-07-28T01:22:26.699416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66948f8b3b8cc66cd59b4430fd37dab567eba7ff7a26f6ebbb5200b5f81111c

Aliases

arxiv: 2512.20445 · arxiv_version: 2512.20445v2 · doi: 10.48550/arxiv.2512.20445 · pith_short_12: WZUUR6FTXDGG · pith_short_16: WZUUR6FTXDGGNTKZ · pith_short_8: WZUUR6FT

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/WZUUR6FTXDGGNTKZWRBQ7U35VN \
  | 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: b66948f8b3b8cc66cd59b4430fd37dab567eba7ff7a26f6ebbb5200b5f81111c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03bc31daf9e900ec1610b89ed4e95abc93cb8115cf9ff7cff0b952c1daee3de9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-23T15:35:10Z",
    "title_canon_sha256": "809ed944c3afeef6140c8e4c06a9cda53fc1549b043d9f8f2ef8ad259e2b031e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.20445",
    "kind": "arxiv",
    "version": 2
  }
}