Pith Number

pith:5Z5QZ7KB

pith:2021:5Z5QZ7KB7JE3XJBGSKW3HLNWWC

not attested not anchored not stored refs pending

The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher $\ell$-Modes of Linear Waves on a Schwarzschild Background

Lionor M. A. Kehrberger

arxiv:2106.00035 v5 · 2021-05-31 · gr-qc · hep-th · 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{5Z5QZ7KB7JE3XJBGSKW3HLNWWC}

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

A proof of conservation laws in gravitational scattering: tails and breaking of peeling

Receipt and verification

First computed	2026-07-05T11:55:58.104567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7b0cfd41fa49bba42692adb3adb6b0a61334c376b18d140606d35e8e75c4f2

Aliases

arxiv: 2106.00035 · arxiv_version: 2106.00035v5 · doi: 10.48550/arxiv.2106.00035 · pith_short_12: 5Z5QZ7KB7JE3 · pith_short_16: 5Z5QZ7KB7JE3XJBG · pith_short_8: 5Z5QZ7KB

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/5Z5QZ7KB7JE3XJBGSKW3HLNWWC \
  | 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: ee7b0cfd41fa49bba42692adb3adb6b0a61334c376b18d140606d35e8e75c4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a553f1655138cab0dcae4cc14cbea65c755e558543c26048d3633df0baca553c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-31T18:03:47Z",
    "title_canon_sha256": "2af0dc8277310734a0e408a296fe971464ba399c7a2a4678bf0cafa8ad44bd40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.00035",
    "kind": "arxiv",
    "version": 5
  }
}