Pith Number

pith:SS4H3AHO

pith:2011:SS4H3AHO3TI3XHAJH3D2YTQ6WT

not attested not anchored not stored refs pending

Scattering of Scalar Waves by Schwarzschild Black Hole Immersed in Magnetic Field

Hao Liao, Juhua Chen, Yongjiu Wang

arxiv:1111.0825 v1 · 2011-11-03 · 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{SS4H3AHO3TI3XHAJH3D2YTQ6WT}

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.

Receipt and verification

First computed	2026-05-18T01:59:47.821463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b87d80eedcd1bb9c093ec7ac4e1eb4c378bfbeb538bb722e094be1a8470601

Aliases

arxiv: 1111.0825 · arxiv_version: 1111.0825v1 · doi: 10.48550/arxiv.1111.0825 · pith_short_12: SS4H3AHO3TI3 · pith_short_16: SS4H3AHO3TI3XHAJ · pith_short_8: SS4H3AHO

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/SS4H3AHO3TI3XHAJH3D2YTQ6WT \
  | 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: 94b87d80eedcd1bb9c093ec7ac4e1eb4c378bfbeb538bb722e094be1a8470601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4acfc1f1920158b4a2fa84b1ae44b86b7f37e57362482cc924e954a4d70c24df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-03T12:57:21Z",
    "title_canon_sha256": "66e9591b14e9084cbec8fe97d932241c8d01fbecdf96d6415ab98aec811a7ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0825",
    "kind": "arxiv",
    "version": 1
  }
}