Pith Number

pith:UHHH4FN7

pith:2025:UHHH4FN7EDMQE5MKTXITS4R5RE

not attested not anchored not stored refs pending

Shadows of three black holes in static equilibrium configuration

Chen Deng, Dan Li, Shiyang Hu, Wenfu Cao, Yu Wang, Yuxiang Zuo

arxiv:2504.04102 v2 · 2025-04-05 · 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{UHHH4FN7EDMQE5MKTXITS4R5RE}

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

Reshaping the inner shadow of a Kerr black hole by a torn accretion disk

Receipt and verification

First computed	2026-07-05T11:55:18.177469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ce7e15bf20d902758a9dd139723d892f74de249012e5f74a4f84a24c75f898

Aliases

arxiv: 2504.04102 · arxiv_version: 2504.04102v2 · doi: 10.48550/arxiv.2504.04102 · pith_short_12: UHHH4FN7EDMQ · pith_short_16: UHHH4FN7EDMQE5MK · pith_short_8: UHHH4FN7

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/UHHH4FN7EDMQE5MKTXITS4R5RE \
  | 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: a1ce7e15bf20d902758a9dd139723d892f74de249012e5f74a4f84a24c75f898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6617db33dddcf2d7b4e2f669db49557cecaf9112de59062a938b464f1af36c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-05T08:26:42Z",
    "title_canon_sha256": "8a07662071bd98e4b9a55c1e446b83d7c02809a91651893a3da1a1204f5c072d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04102",
    "kind": "arxiv",
    "version": 2
  }
}