Pith Number

pith:U3LCXCSU

pith:2021:U3LCXCSUGIA2UH3LCPY72SUTX6

not attested not anchored not stored refs pending

Comparing Shadows of Blackhole and Naked Singularity

Ashok B. Joshi, Dipanjan Dey, Kanwar Preet Kaur, Pankaj S. Joshi, Rucha P. Desai

arxiv:2106.13175 v1 · 2021-06-24 · 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{U3LCXCSUGIA2UH3LCPY72SUTX6}

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

1 paper in Pith

Modelling the Sgr A$^*$ and M87$^*$ shadows by using the Kerr-Taub-NUT metrics in the presence of a scalar field

Receipt and verification

First computed	2026-07-05T02:52:10.255142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d62b8a543201aa1f6b13f1fd4a93bf8399518e1854e0f93689c5cc164293a7

Aliases

arxiv: 2106.13175 · arxiv_version: 2106.13175v1 · doi: 10.48550/arxiv.2106.13175 · pith_short_12: U3LCXCSUGIA2 · pith_short_16: U3LCXCSUGIA2UH3L · pith_short_8: U3LCXCSU

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/U3LCXCSUGIA2UH3LCPY72SUTX6 \
  | 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: a6d62b8a543201aa1f6b13f1fd4a93bf8399518e1854e0f93689c5cc164293a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fcd2f54a49a51d43bb39b2310f22ebd1dc1d1339c96e24696a30e5e6e679a1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-24T16:51:44Z",
    "title_canon_sha256": "39552675785a50e8d2df3de7848a6177ac748126e8ee8314b53ea599ccde2854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13175",
    "kind": "arxiv",
    "version": 1
  }
}