Pith Number

pith:HU3V2KFN

pith:2021:HU3V2KFNKRWRH23DIUA236OYHI

not attested not anchored not stored refs pending

Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma

Anish Das, Ashis Saha, Sunandan Gangopadhyay

arxiv:2110.11704 v2 · 2021-10-22 · 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{HU3V2KFNKRWRH23DIUA236OYHI}

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	2026-07-05T04:11:50.113069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d375d28ad546d13eb634501adf9d83a39eac1d9ceeccd89e78a51e0a4ab1c2c

Aliases

arxiv: 2110.11704 · arxiv_version: 2110.11704v2 · doi: 10.48550/arxiv.2110.11704 · pith_short_12: HU3V2KFNKRWR · pith_short_16: HU3V2KFNKRWRH23D · pith_short_8: HU3V2KFN

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/HU3V2KFNKRWRH23DIUA236OYHI \
  | 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: 3d375d28ad546d13eb634501adf9d83a39eac1d9ceeccd89e78a51e0a4ab1c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1113334980d75093b9d00d3682011f27fa84074614079cf426e972c8f4c2d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-22T10:59:58Z",
    "title_canon_sha256": "621ab8084a5a1b25a4bf0d84bfa7a6514d48d823129e82e9e3c4af00b8dfa06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11704",
    "kind": "arxiv",
    "version": 2
  }
}