Pith Number

pith:75I6M45U

pith:2021:75I6M45UTYAVLOYIPNYWAAE5VR

not attested not anchored not stored refs pending

Magnetized discs and photon rings around Yukawa-like black holes

Alejandro Cruz-Osorio, Jos\'e A. Font, Mariafelicia De Laurentis, Sergio Gimeno-Soler, Sergio Mendoza

arxiv:2102.10150 v2 · 2021-02-19 · astro-ph.HE · 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{75I6M45UTYAVLOYIPNYWAAE5VR}

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	2026-07-05T02:46:26.658879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff51e673b49e0155bb087b7160009dac46ff42440e120c1bc8d584e6acf6cba1

Aliases

arxiv: 2102.10150 · arxiv_version: 2102.10150v2 · doi: 10.48550/arxiv.2102.10150 · pith_short_12: 75I6M45UTYAV · pith_short_16: 75I6M45UTYAVLOYI · pith_short_8: 75I6M45U

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/75I6M45UTYAVLOYIPNYWAAE5VR \
  | 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: ff51e673b49e0155bb087b7160009dac46ff42440e120c1bc8d584e6acf6cba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d776804b8aba92b8b0b3811c6773d76b74fb1eebdcacdad5ae8040515b198d5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2021-02-19T20:28:45Z",
    "title_canon_sha256": "bb3e5f9b842a9e829d58343242c5f81e0f096717e6e399c552d0a37ba5ff7dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10150",
    "kind": "arxiv",
    "version": 2
  }
}