Pith Number

pith:7D7H2KCJ

pith:2026:7D7H2KCJK3O6NK4OKR46I35FPA

not attested not anchored not stored refs pending

Coupled by Design: Computing Kerr-Newman Quasinormal Modes with a Hybrid SpectralPINN Solver

Alexandre M. Pombo

arxiv:2607.14216 v1 · 2026-07-15 · 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{7D7H2KCJK3O6NK4OKR46I35FPA}

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	2026-07-17T00:20:58.668014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fe7d284956dde6ab8e5479e46fa5783adb6aa47d763e46f8010f9c3c43119f

Aliases

arxiv: 2607.14216 · arxiv_version: 2607.14216v1 · doi: 10.48550/arxiv.2607.14216 · pith_short_12: 7D7H2KCJK3O6 · pith_short_16: 7D7H2KCJK3O6NK4O · pith_short_8: 7D7H2KCJ

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/7D7H2KCJK3O6NK4OKR46I35FPA \
  | 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: f8fe7d284956dde6ab8e5479e46fa5783adb6aa47d763e46f8010f9c3c43119f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e68180e967516a917c9c8dc9e510dcb87e0e38c2550e417d8a33bfea5dc614",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-15T18:00:05Z",
    "title_canon_sha256": "b1d6f6b2c4dd9e9aba8d1266ad2042cac787a9d956d181b98c5ac2e17e8058d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14216",
    "kind": "arxiv",
    "version": 1
  }
}