Pith Number

pith:MPNKIU3A

pith:2010:MPNKIU3ABSCC643GTUOAMCRBJI

not attested not anchored not stored refs pending

Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry

Igor Rodnianski, Mihalis Dafermos

arxiv:1010.5132 v1 · 2010-10-25 · gr-qc · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPNKIU3ABSCC643GTUOAMCRBJI}

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

2 papers in Pith

Exponentially-growing Mode Instability on Reissner-Nordstr\"om--Anti-de-Sitter black holes

Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors

Receipt and verification

First computed	2026-05-18T04:38:49.332217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63daa453600c842f73669d1c060a214a23a30e87e2e5424bd2bf6d4742f5abf3

Aliases

arxiv: 1010.5132 · arxiv_version: 1010.5132v1 · doi: 10.48550/arxiv.1010.5132 · pith_short_12: MPNKIU3ABSCC · pith_short_16: MPNKIU3ABSCC643G · pith_short_8: MPNKIU3A

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/MPNKIU3ABSCC643GTUOAMCRBJI \
  | 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: 63daa453600c842f73669d1c060a214a23a30e87e2e5424bd2bf6d4742f5abf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d487762e05d9c66e870fc43c3bdf67791ceec38c0f4650617ace556a51a1684f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-25T14:07:37Z",
    "title_canon_sha256": "7a0184eea5e438a192364c0c814d7a9f63ead32ec9ea65d130a36c3352c3be43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5132",
    "kind": "arxiv",
    "version": 1
  }
}