Pith Number

pith:MNRDQR6L

pith:2022:MNRDQR6LFCJVX4ZHC4RHAO3A4A

not attested not anchored not stored refs pending

Darboux inversions of the Kepler problem

Alain Albouy, Lei Zhao

arxiv:2201.00808 v2 · 2022-01-03 · 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{MNRDQR6LFCJVX4ZHC4RHAO3A4A}

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	2026-07-05T04:32:13.978073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63623847cb28935bf3271722703b60e00a3e322bcb2b0427e29aa96811289b34

Aliases

arxiv: 2201.00808 · arxiv_version: 2201.00808v2 · doi: 10.48550/arxiv.2201.00808 · pith_short_12: MNRDQR6LFCJV · pith_short_16: MNRDQR6LFCJVX4ZH · pith_short_8: MNRDQR6L

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/MNRDQR6LFCJVX4ZHC4RHAO3A4A \
  | 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: 63623847cb28935bf3271722703b60e00a3e322bcb2b0427e29aa96811289b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73541909e79c8258335c145b2e3ae3c2b8df77eae54cfb206441d27e9945bd17",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-01-03T18:53:12Z",
    "title_canon_sha256": "7f28e4655371514d3dad0a99d5e2bb0830a8cacc87c8c1f2abb6f040aa3304ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00808",
    "kind": "arxiv",
    "version": 2
  }
}