Pith Number

pith:XVQUHBIR

pith:2016:XVQUHBIRUM4OFQ7AVSJSSGP4NJ

not attested not anchored not stored refs pending

Constructing the Hyperbolic Plane as the reduction of a three-body problem

Richard Montgomery

arxiv:1609.05220 v1 · 2016-09-16 · math.DS · math-ph · math.DG · 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{XVQUHBIRUM4OFQ7AVSJSSGP4NJ}

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	2026-05-18T01:04:30.847942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd61438511a338e2c3e0ac932919fc6a683bbd4fc9399aecb7736379fc8354e5

Aliases

arxiv: 1609.05220 · arxiv_version: 1609.05220v1 · doi: 10.48550/arxiv.1609.05220 · pith_short_12: XVQUHBIRUM4O · pith_short_16: XVQUHBIRUM4OFQ7A · pith_short_8: XVQUHBIR

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/XVQUHBIRUM4OFQ7AVSJSSGP4NJ \
  | 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: bd61438511a338e2c3e0ac932919fc6a683bbd4fc9399aecb7736379fc8354e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d917d85c3ed4461fc4ab6d0f0202e120052b32981cedf40dc78d83e4616bfd5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-16T20:10:43Z",
    "title_canon_sha256": "96e1a62d417a062d00f4056bcccd580dc643300e54da77d12a7f380b29b69b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05220",
    "kind": "arxiv",
    "version": 1
  }
}