Pith Number

pith:ETNLGUMP

pith:2004:ETNLGUMP2BAZX7E6IELXDF3FHO

not attested not anchored not stored refs pending

The Aschenbach effect: unexpected topology changes in motion of particles and fluids orbiting rapidly rotating Kerr black holes

G. Torok, M. A. Abramowicz, P. Slany, Z. Stuchlik

arxiv:gr-qc/0411091 v1 · 2004-11-18 · 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{ETNLGUMP2BAZX7E6IELXDF3FHO}

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	2026-07-04T16:47:56.588238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24dab3518fd0419bfc9e41177197653bbb072ed389131506738382b4a6179f1b

Aliases

arxiv: gr-qc/0411091 · arxiv_version: gr-qc/0411091v1 · doi: 10.48550/arxiv.gr-qc/0411091 · pith_short_12: ETNLGUMP2BAZ · pith_short_16: ETNLGUMP2BAZX7E6 · pith_short_8: ETNLGUMP

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/ETNLGUMP2BAZX7E6IELXDF3FHO \
  | 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: 24dab3518fd0419bfc9e41177197653bbb072ed389131506738382b4a6179f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1dfe84dc4d89a6096b28c29656d15df6153695a375b0e02e1ac2b4a225a6fc6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-18T10:39:24Z",
    "title_canon_sha256": "7fbd54922f9ee123dd7d19b6625b03cf59d91ec134770b55a18324f4b2805870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411091",
    "kind": "arxiv",
    "version": 1
  }
}