Pith Number

pith:PCO6XVEZ

pith:2021:PCO6XVEZWKN2XLLOX6HYWIYG5M

not attested not anchored not stored refs pending

A Positive-Definite Energy Functional for the Axisymmetric Perturbations of Kerr-Newman Black Holes

(2) Harvard University), Nishanth Gudapati (2) ((1) Yale University, Vincent Moncrief (1)

arxiv:2105.12632 v1 · 2021-05-26 · 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{PCO6XVEZWKN2XLLOX6HYWIYG5M}

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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

On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

Receipt and verification

First computed	2026-07-05T09:45:04.790821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789debd499b29babad6ebf8f8b2306eb13fc80075e9c6b9e5040a17b425fc94a

Aliases

arxiv: 2105.12632 · arxiv_version: 2105.12632v1 · doi: 10.48550/arxiv.2105.12632 · pith_short_12: PCO6XVEZWKN2 · pith_short_16: PCO6XVEZWKN2XLLO · pith_short_8: PCO6XVEZ

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/PCO6XVEZWKN2XLLOX6HYWIYG5M \
  | 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: 789debd499b29babad6ebf8f8b2306eb13fc80075e9c6b9e5040a17b425fc94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f41de1454281e39ca292daeae0ff0e219b198f6b8c449e1474ad412b3c6651",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-26T15:46:52Z",
    "title_canon_sha256": "4a2cacd89da553fa637306deb8c480e29e0ed0405f466f4d04bc96fd4f11e5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12632",
    "kind": "arxiv",
    "version": 1
  }
}