Pith Number

pith:3GBXR555

pith:2021:3GBXR555W7GGCV3UPBPZ5EL5NI

not attested not anchored not stored refs pending

Binary black hole system at equilibrium

Adriano Vigan\`o, Marco Astorino

arxiv:2104.07686 v2 · 2021-04-15 · gr-qc · astro-ph.HE · 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{3GBXR555W7GGCV3UPBPZ5EL5NI}

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

Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows

Receipt and verification

First computed	2026-07-05T06:42:54.702224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98378f7bdb7cc615774785f9e917d6a073685503ba056f4147aa3e36f2ae862

Aliases

arxiv: 2104.07686 · arxiv_version: 2104.07686v2 · doi: 10.48550/arxiv.2104.07686 · pith_short_12: 3GBXR555W7GG · pith_short_16: 3GBXR555W7GGCV3U · pith_short_8: 3GBXR555

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/3GBXR555W7GGCV3UPBPZ5EL5NI \
  | 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: d98378f7bdb7cc615774785f9e917d6a073685503ba056f4147aa3e36f2ae862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6672adf5598084d5f39d2837ee5fc37c1c90069abc6873a3e171c2f04e6302c",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-15T18:00:06Z",
    "title_canon_sha256": "882184cf0167bf6356253460f2cf5891de6cd8875bdd3570b5e3ee566438a483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07686",
    "kind": "arxiv",
    "version": 2
  }
}