Pith Number

pith:Y6IAT2GH

pith:2021:Y6IAT2GHIXLLIXXVKR5BDS2SSG

not attested not anchored not stored refs pending

Deformed black hole immersed in dark matter spike

Jiancheng Wang, Zhaoyi Xu

arxiv:2104.13158 v1 · 2021-04-27 · 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{Y6IAT2GHIXLLIXXVKR5BDS2SSG}

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.

Cited by

2 papers in Pith

Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Receipt and verification

First computed	2026-07-05T03:17:50.399148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79009e8c745d6b45ef5547a11cb5291a9d31f9aa8454c745754fa29006a9400

Aliases

arxiv: 2104.13158 · arxiv_version: 2104.13158v1 · doi: 10.48550/arxiv.2104.13158 · pith_short_12: Y6IAT2GHIXLL · pith_short_16: Y6IAT2GHIXLLIXXV · pith_short_8: Y6IAT2GH

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/Y6IAT2GHIXLLIXXVKR5BDS2SSG \
  | 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: c79009e8c745d6b45ef5547a11cb5291a9d31f9aa8454c745754fa29006a9400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0619fe1b9dc730c4364fd890e95eb2e019b8f92bbb1cc781eba6d9ddc49bba62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-27T13:07:28Z",
    "title_canon_sha256": "60efcd06e72b615792ef1eaeb74e25493a032aeb28a67c11a1de2d9204885f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13158",
    "kind": "arxiv",
    "version": 1
  }
}