Pith Number

pith:K2OCHWWW

pith:2023:K2OCHWWWV3MFX62V6BYTN4WQQM

not attested not anchored not stored refs pending

The asymptotics of massive fields on stationary spherically symmetric black holes for all angular momenta

Federico Pasqualotto, Maxime Van de Moortel, Yakov Shlapentokh-Rothman

arxiv:2303.17767 v2 · 2023-03-31 · gr-qc · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2OCHWWWV3MFX62V6BYTN4WQQM}

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

Global solutions to cubic Dirac and Dirac-Klein-Gordon systems on spacetimes close to the Minkowski space

Receipt and verification

First computed	2026-07-05T07:30:19.040160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569c23dad6aed85bfb55f07136f2d08327854a24a7c4b2724af67f85ed2a57e9

Aliases

arxiv: 2303.17767 · arxiv_version: 2303.17767v2 · doi: 10.48550/arxiv.2303.17767 · pith_short_12: K2OCHWWWV3MF · pith_short_16: K2OCHWWWV3MFX62V · pith_short_8: K2OCHWWW

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/K2OCHWWWV3MFX62V6BYTN4WQQM \
  | 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: 569c23dad6aed85bfb55f07136f2d08327854a24a7c4b2724af67f85ed2a57e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78622bcd360b7ab5375074fa76075f830346902801017f1101662d4228af98e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-31T02:09:53Z",
    "title_canon_sha256": "d25b3d8a96a7691da04ac3457e8f5d6ca876418552292c85bacb899239f193e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17767",
    "kind": "arxiv",
    "version": 2
  }
}