Pith Number

pith:L7LQGFW5

pith:2026:L7LQGFW5PAMN3NPTKXTF5Z3Y6U

not attested not anchored not stored refs pending

Geodesics and Thermodynamics of a Schwarzschild Black Hole with Hernquist Dark Matter

A. Bouzenada, A. R. P. Moreira, F. C. E. Lima, F. M. Belchior

arxiv:2605.24046 v1 · 2026-05-21 · 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{L7LQGFW5PAMN3NPTKXTF5Z3Y6U}

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	2026-05-26T01:02:42.707630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd70316dd7818ddb5f355e65ee778f53b0d2fa7b31d474fdbc8eebbd4475d5c

Aliases

arxiv: 2605.24046 · arxiv_version: 2605.24046v1 · doi: 10.48550/arxiv.2605.24046 · pith_short_12: L7LQGFW5PAMN · pith_short_16: L7LQGFW5PAMN3NPT · pith_short_8: L7LQGFW5

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/L7LQGFW5PAMN3NPTKXTF5Z3Y6U \
  | 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: 5fd70316dd7818ddb5f355e65ee778f53b0d2fa7b31d474fdbc8eebbd4475d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b78a780cf4b5634e9886c4b3fcefb31caeebf579ea09b6b6852010dd82f2f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-21T21:15:24Z",
    "title_canon_sha256": "fa796cf2975ca5254bdfe2282d70213de2655a9fd6a513206732089da0505875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24046",
    "kind": "arxiv",
    "version": 1
  }
}