Pith Number

pith:VA6RP5TO

pith:2016:VA6RP5TO2M4SBCXEU3REM7EN75

not attested not anchored not stored refs pending

Gauge-invariant perturbations of Schwarzschild spacetime

Abhay G. Shah, Bernard F. Whiting, Lars Andersson, Steffen Aksteiner, Thomas B\"ackdahl

arxiv:1611.08291 v1 · 2016-11-24 · 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{VA6RP5TO2M4SBCXEU3REM7EN75}

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

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds

Receipt and verification

First computed	2026-05-18T00:56:30.215906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83d17f66ed339208ae4a6e2467c8dff4da523fe1deabba4ed2905e5eb728ce5

Aliases

arxiv: 1611.08291 · arxiv_version: 1611.08291v1 · doi: 10.48550/arxiv.1611.08291 · pith_short_12: VA6RP5TO2M4S · pith_short_16: VA6RP5TO2M4SBCXE · pith_short_8: VA6RP5TO

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/VA6RP5TO2M4SBCXEU3REM7EN75 \
  | 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: a83d17f66ed339208ae4a6e2467c8dff4da523fe1deabba4ed2905e5eb728ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47d65a81522f1efc734c8fdd33bf73c89e554ae26df0ccdb2afec518f713611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-24T19:20:53Z",
    "title_canon_sha256": "4f8ec8be96dd16a7fa41ff601bbf5f5327f336ce861a5161619afe388dc2902c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08291",
    "kind": "arxiv",
    "version": 1
  }
}