Pith Number

pith:PI5EMEPX

pith:2011:PI5EMEPX53RSNSBCJU646MZ64A

not attested not anchored not stored refs pending

The Cartan geometry of the rotating Kepler problem

Kai Cieliebak, Otto van Koert, Urs Frauenfelder

arxiv:1110.1021 v1 · 2011-10-05 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI5EMEPX53RSNSBCJU646MZ64A}

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	2026-05-18T00:01:23.893482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3a4611f7eee326c8224d3dcf333ee01e7bacc98a6bb7e6735ce971b339cd9b

Aliases

arxiv: 1110.1021 · arxiv_version: 1110.1021v1 · doi: 10.48550/arxiv.1110.1021 · pith_short_12: PI5EMEPX53RS · pith_short_16: PI5EMEPX53RSNSBC · pith_short_8: PI5EMEPX

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/PI5EMEPX53RSNSBCJU646MZ64A \
  | 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: 7a3a4611f7eee326c8224d3dcf333ee01e7bacc98a6bb7e6735ce971b339cd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61723194e48e552fa759d4d28c60e5af00f2bc3fefdd8ba0a7d54431986ef6b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-05T15:26:18Z",
    "title_canon_sha256": "06b5c777144eb6093805de353d1d14eb5f8cc55ffabc671931193f0d092f8d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1021",
    "kind": "arxiv",
    "version": 1
  }
}