Pith Number

pith:TD3NLVWK

pith:2015:TD3NLVWKRQK6RLZPVKBJ7A5SWW

not attested not anchored not stored refs pending

A complete and explicit solution to the three-dimensional problem of two fixed centres

Dario Izzo, Francesco Biscani

arxiv:1510.07959 v1 · 2015-10-27 · 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{TD3NLVWKRQK6RLZPVKBJ7A5SWW}

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	2026-05-18T01:24:51.237844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f6d5d6ca8c15e8af2faa829f83b2b5a43dac2e51681303db3e12a855133890

Aliases

arxiv: 1510.07959 · arxiv_version: 1510.07959v1 · doi: 10.48550/arxiv.1510.07959 · pith_short_12: TD3NLVWKRQK6 · pith_short_16: TD3NLVWKRQK6RLZP · pith_short_8: TD3NLVWK

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/TD3NLVWKRQK6RLZPVKBJ7A5SWW \
  | 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: 98f6d5d6ca8c15e8af2faa829f83b2b5a43dac2e51681303db3e12a855133890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e747b69aab62494d891c7ac2e964d0dc7d5577c553c69522ef575138c9fb27",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-10-27T16:17:31Z",
    "title_canon_sha256": "2bff7b94fdf206a09d45f653213de1f79b4ddd3213b4bdf9f86a1c74a7cea73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07959",
    "kind": "arxiv",
    "version": 1
  }
}