Pith Number

pith:MSS7BXDR

pith:2012:MSS7BXDR5E4ADFA456ASYOSK4H

not attested not anchored not stored refs pending

Shadows of Multi-Black Holes: Analytic Exploration

Akifumi Yumoto, Daisuke Nitta, Naoshi Sugiyama, Takeshi Chiba

arxiv:1208.0635 v2 · 2012-08-03 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSS7BXDR5E4ADFA456ASYOSK4H}

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	2026-05-18T02:21:01.556154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a5f0dc71e93801941cef812c3a4ae1fb8f165a1728cdca05f954b368815873

Aliases

arxiv: 1208.0635 · arxiv_version: 1208.0635v2 · doi: 10.48550/arxiv.1208.0635 · pith_short_12: MSS7BXDR5E4A · pith_short_16: MSS7BXDR5E4ADFA4 · pith_short_8: MSS7BXDR

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/MSS7BXDR5E4ADFA456ASYOSK4H \
  | 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: 64a5f0dc71e93801941cef812c3a4ae1fb8f165a1728cdca05f954b368815873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9540189353a12af37e3c6dc5c03dbe81c2a1c5dae77a1a6ff76bc7dfdbf2953",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-03T00:33:25Z",
    "title_canon_sha256": "f31681e7cec8722b4a593a2b38d6dc7930f2df0934bbb243d76240b5af5bc22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0635",
    "kind": "arxiv",
    "version": 2
  }
}