Pith Number

pith:HM4MONNN

pith:2012:HM4MONNN33YSDKKPEIH7OLA3CN

not attested not anchored not stored refs pending

The non-integrability of the Zipoy-Voorhees metric

Georgios Lukes-Gerakopoulos

arxiv:1206.0660 v2 · 2012-06-04 · 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{HM4MONNN33YSDKKPEIH7OLA3CN}

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

3 papers in Pith

Periodic orbits and their gravitational wave radiations in $\gamma$-metric

The relativistic restricted three-body problem: geometry and motion around tidally perturbed black holes

Analytic thin disks and rings in a class of nonasymptotically flat static spacetimes

Receipt and verification

First computed	2026-05-18T03:49:11.554683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b38c735addef121a94f220ff72c1b136289a57fafb9a2a8749c885aa952e15b

Aliases

arxiv: 1206.0660 · arxiv_version: 1206.0660v2 · doi: 10.48550/arxiv.1206.0660 · pith_short_12: HM4MONNN33YS · pith_short_16: HM4MONNN33YSDKKP · pith_short_8: HM4MONNN

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/HM4MONNN33YSDKKPEIH7OLA3CN \
  | 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: 3b38c735addef121a94f220ff72c1b136289a57fafb9a2a8749c885aa952e15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f6249e77f8bbd2cd402f01e57fe4606cabecf51b8a18c27854b0d9ce101f14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-04T16:11:49Z",
    "title_canon_sha256": "ad59c2e227c0d7a86501fd85f706415a20626e1ecca07224bff50abe3ab37b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0660",
    "kind": "arxiv",
    "version": 2
  }
}