Pith Number

pith:YF7OLZLT

pith:2025:YF7OLZLTUVN3REZGPQWO5B3AAD

not attested not anchored not stored refs pending

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects

Peng-Cheng Li, Wei Xiong

arxiv:2511.12570 v2 · 2025-11-16 · 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{YF7OLZLTUVN3REZGPQWO5B3AAD}

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	2026-06-02T02:04:49.182184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17ee5e573a55bb893267c2cee876000d160ee2afae0437b1842cf31b899f0f6

Aliases

arxiv: 2511.12570 · arxiv_version: 2511.12570v2 · doi: 10.48550/arxiv.2511.12570 · pith_short_12: YF7OLZLTUVN3 · pith_short_16: YF7OLZLTUVN3REZG · pith_short_8: YF7OLZLT

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/YF7OLZLTUVN3REZGPQWO5B3AAD \
  | 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: c17ee5e573a55bb893267c2cee876000d160ee2afae0437b1842cf31b899f0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3375c87b1f232ab52b4017ba7ac1abade46b178be94ce3336376f30026a6d3bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-16T12:22:22Z",
    "title_canon_sha256": "af3866f287b6f65574390606ffbff0aa7042d22c74104df99e31562c56e10276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.12570",
    "kind": "arxiv",
    "version": 2
  }
}