Pith Number

pith:MUHCCTBR

pith:2005:MUHCCTBRUCXLS5D2L5IU62CYJF

not attested not anchored not stored refs pending

Reconsideration of the Regge-Wheeler equation

Guihua Tian, Shikun Wang, Zhao Zheng

arxiv:gr-qc/0509030 v1 · 2005-09-09 · 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{MUHCCTBRUCXLS5D2L5IU62CYJF}

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

Accelerating imperfect fluid

Receipt and verification

First computed	2026-07-04T14:25:58.868266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650e214c31a0aeb9747a5f514f685849781403f0765582fda6c1119c54aab64f

Aliases

arxiv: gr-qc/0509030 · arxiv_version: gr-qc/0509030v1 · doi: 10.48550/arxiv.gr-qc/0509030 · pith_short_12: MUHCCTBRUCXL · pith_short_16: MUHCCTBRUCXLS5D2 · pith_short_8: MUHCCTBR

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/MUHCCTBRUCXLS5D2L5IU62CYJF \
  | 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: 650e214c31a0aeb9747a5f514f685849781403f0765582fda6c1119c54aab64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bcd71d9e6d4fc0c18fb677961408283d84c12aa031de8e3984ca53bf2d92f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-09T01:38:09Z",
    "title_canon_sha256": "69c3cf97993296b1ace527d200acbfccc0244fe9485aec27c5dc6dc69841d3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509030",
    "kind": "arxiv",
    "version": 1
  }
}