Pith Number

pith:YXACEHWJ

pith:2000:YXACEHWJIADLYZ6DEFFTBHH62R

not attested not anchored not stored refs pending

Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior

Carsten Gundlach, Jose M. Martin-Garcia

arxiv:gr-qc/0012056 v1 · 2000-12-15 · 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{YXACEHWJIADLYZ6DEFFTBHH62R}

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	2026-05-18T04:35:35.272932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c0221ec94006bc67c3214b309cfed441b862c20a486891eed18d0573b194ab

Aliases

arxiv: gr-qc/0012056 · arxiv_version: gr-qc/0012056v1 · doi: 10.48550/arxiv.gr-qc/0012056 · pith_short_12: YXACEHWJIADL · pith_short_16: YXACEHWJIADLYZ6D · pith_short_8: YXACEHWJ

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/YXACEHWJIADLYZ6DEFFTBHH62R \
  | 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: c5c0221ec94006bc67c3214b309cfed441b862c20a486891eed18d0573b194ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20f069a284be962b7c2aa61a79104b96076c5d67c9ad08637efd756f80e34ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-15T15:54:22Z",
    "title_canon_sha256": "81753f5f2d345831cc6491e323ae1d8dd44bea8f06f9e4789d642130f882a6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012056",
    "kind": "arxiv",
    "version": 1
  }
}