Pith Number

pith:LIEDRDW4

pith:2026:LIEDRDW4DUJGCQOY6PBJW6IXAY

not attested not anchored not stored refs pending

Two asymptotically flat spinning black holes balanced by their self-interacting, synchronised scalar hair

Carlos Herdeiro, Chen Liang, Eugen Radu

arxiv:2605.20374 v1 · 2026-05-19 · gr-qc · 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{LIEDRDW4DUJGCQOY6PBJW6IXAY}

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	2026-05-21T01:04:35.566922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a08388edc1d126141d8f3c29b7917061f7d2c24224cac379e0b32645642d784

Aliases

arxiv: 2605.20374 · arxiv_version: 2605.20374v1 · doi: 10.48550/arxiv.2605.20374 · pith_short_12: LIEDRDW4DUJG · pith_short_16: LIEDRDW4DUJGCQOY · pith_short_8: LIEDRDW4

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/LIEDRDW4DUJGCQOY6PBJW6IXAY \
  | 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: 5a08388edc1d126141d8f3c29b7917061f7d2c24224cac379e0b32645642d784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecc2239c8696a74d9c5e60e6adff7ff0e96a272d32357e848dcf06cc1f5b562",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-19T18:24:11Z",
    "title_canon_sha256": "3ce3a9418c1c953e208b7cc3fc34b4b5a10f3a0d998ac75528ce39a17090c046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20374",
    "kind": "arxiv",
    "version": 1
  }
}