Pith Number

pith:4NMV47NS

pith:2010:4NMV47NSSHHDIULHTYB3B6UKIH

not attested not anchored not stored refs pending

Uniqueness of collinear solutions for the relativistic three-body problem

Hideki Asada, Kei Yamada

arxiv:1011.2007 v2 · 2010-11-09 · gr-qc · astro-ph.EP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NMV47NSSHHDIULHTYB3B6UKIH}

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	2026-05-18T04:27:56.469124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3595e7db291ce3451679e03b0fa8a41cda975a96cd427e344b5eb08c53ac501

Aliases

arxiv: 1011.2007 · arxiv_version: 1011.2007v2 · doi: 10.48550/arxiv.1011.2007 · pith_short_12: 4NMV47NSSHHD · pith_short_16: 4NMV47NSSHHDIULH · pith_short_8: 4NMV47NS

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/4NMV47NSSHHDIULHTYB3B6UKIH \
  | 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: e3595e7db291ce3451679e03b0fa8a41cda975a96cd427e344b5eb08c53ac501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d07ee81becc274d6dc528e1944a842630bd8adc840fd5296309ff9cab79e86",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-09T08:52:25Z",
    "title_canon_sha256": "de0d91118e2094eaf65617c99fb68f07470ba5329423407f38727b43f6500688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2007",
    "kind": "arxiv",
    "version": 2
  }
}