Pith Number

pith:P2DJEIZQ

pith:2004:P2DJEIZQ47PEP56LC5PDL4HYP6

not attested not anchored not stored refs pending

Epicyclic frequencies derived from the effective potential: simple and practical formulae

M.A. Abramowicz, W. Kluzniak

arxiv:astro-ph/0411709 v1 · 2004-11-26 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2DJEIZQ47PEP56LC5PDL4HYP6}

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

Probing near-zone magnetic fields with extreme mass-ratio inspirals

Receipt and verification

First computed	2026-07-04T16:45:18.155874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e86922330e7de47f7cb175e35f0f87fac38edde0ed9eccc59f706b3f87285fe

Aliases

arxiv: astro-ph/0411709 · arxiv_version: astro-ph/0411709v1 · doi: 10.48550/arxiv.astro-ph/0411709 · pith_short_12: P2DJEIZQ47PE · pith_short_16: P2DJEIZQ47PEP56L · pith_short_8: P2DJEIZQ

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/P2DJEIZQ47PEP56LC5PDL4HYP6 \
  | 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: 7e86922330e7de47f7cb175e35f0f87fac38edde0ed9eccc59f706b3f87285fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1401a33ba44875389477af498b8809051480c52f4270686d9bc2858235b1a9f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-11-26T13:44:09Z",
    "title_canon_sha256": "1735d799b4177a2217e9b871ecb15e658a816dfdd1a4559e8d0ed10bab38662c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0411709",
    "kind": "arxiv",
    "version": 1
  }
}