Pith Number

pith:MXZ6KA3Z

pith:2015:MXZ6KA3Z7AY6MRBSCCCJ3NC6R4

not attested not anchored not stored refs pending

Schwarzschild radial perturbations in Eddington-Finkelstein and Painlev\'e-Gullstrand coordinates

Dennis Philipp, Volker Perlick

arxiv:1503.08361 v2 · 2015-03-28 · 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{MXZ6KA3Z7AY6MRBSCCCJ3NC6R4}

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

Quantum Field Theory of Black Hole Perturbations with Backreaction VI. Apparent Horizons, Quasi-Local Mass and Effective Classical Metrics

Receipt and verification

First computed	2026-05-18T02:02:07.716359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f3e50379f831e6443210849db45e8f189a42085f226b17368f1f75f6263b8c

Aliases

arxiv: 1503.08361 · arxiv_version: 1503.08361v2 · doi: 10.48550/arxiv.1503.08361 · pith_short_12: MXZ6KA3Z7AY6 · pith_short_16: MXZ6KA3Z7AY6MRBS · pith_short_8: MXZ6KA3Z

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/MXZ6KA3Z7AY6MRBSCCCJ3NC6R4 \
  | 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: 65f3e50379f831e6443210849db45e8f189a42085f226b17368f1f75f6263b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3aa27b0b23d0cc7f6fe7ad51a88ed9acf80192e0a7e333003cf9b8d87134702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-28T22:17:26Z",
    "title_canon_sha256": "50ccc4eb2b20b00a7d2e1f0d423f38b3c67691a194678f87230d43f3c08c8879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08361",
    "kind": "arxiv",
    "version": 2
  }
}