Pith Number

pith:GURQOQNU

pith:2021:GURQOQNU45FGME67DQVCFNDXWJ

not attested not anchored not stored refs pending

Non-Expanding horizons: Multipoles and the Symmetry Group

Abhay Ashtekar, Jerzy lewandowski, Maciej Kolanowski, Neev Khera

arxiv:2111.07873 v3 · 2021-11-15 · 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{GURQOQNU45FGME67DQVCFNDXWJ}

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

3 papers in Pith

Horizon Multipole Moments of a Kerr Black Hole

Thermodynamics of dynamical black holes beyond perturbation theory

Probing Kerr Symmetry Breaking with LISA Extreme-Mass-Ratio Inspirals

Receipt and verification

First computed	2026-07-05T04:37:02.908729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35230741b4e74a6613df1c2a22b477b27f2e62f2d5253c6c073f06863891f088

Aliases

arxiv: 2111.07873 · arxiv_version: 2111.07873v3 · doi: 10.48550/arxiv.2111.07873 · pith_short_12: GURQOQNU45FG · pith_short_16: GURQOQNU45FGME67 · pith_short_8: GURQOQNU

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/GURQOQNU45FGME67DQVCFNDXWJ \
  | 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: 35230741b4e74a6613df1c2a22b477b27f2e62f2d5253c6c073f06863891f088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cd9dc48375153f29f917590a4ec0b8f48c498290f9b5ce2b0cc5f2fc233dcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-15T16:23:32Z",
    "title_canon_sha256": "544ce1dc0c0cca70e087a34238d695d787a9d0b1410508143c4063d62089c7d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07873",
    "kind": "arxiv",
    "version": 3
  }
}