Pith Number

pith:MQFTYFQX

pith:2015:MQFTYFQXL5PKALBSNJC2PCGCUM

not attested not anchored not stored refs pending

Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem

Jose F. Cari\~nena, Manuel F. Ra\~nada

arxiv:1509.07493 v3 · 2015-09-24 · 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{MQFTYFQXL5PKALBSNJC2PCGCUM}

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	2026-05-18T01:21:47.103067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640b3c16175f5ea02c326a45a788c2a32d0067515a8a5c60e5d2c3a0d6c662e0

Aliases

arxiv: 1509.07493 · arxiv_version: 1509.07493v3 · doi: 10.48550/arxiv.1509.07493 · pith_short_12: MQFTYFQXL5PK · pith_short_16: MQFTYFQXL5PKALBS · pith_short_8: MQFTYFQX

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/MQFTYFQXL5PKALBSNJC2PCGCUM \
  | 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: 640b3c16175f5ea02c326a45a788c2a32d0067515a8a5c60e5d2c3a0d6c662e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1adca0f8ace101f4b0f9479c80b7218c3c675ab3dcdd43982ab3850ab3021afe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-24T19:54:19Z",
    "title_canon_sha256": "bf251c3b828af3695f7429f7f3f986fabb2adb44e892f18d40eb091288de1ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07493",
    "kind": "arxiv",
    "version": 3
  }
}