Pith Number

pith:DTO2WD7S

pith:2009:DTO2WD7SF6Q5PKAWN5CVMRJNTE

not attested not anchored not stored refs pending

Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system

G. Sardanashvily

arxiv:0911.0992 v2 · 2009-11-05 · 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{DTO2WD7SF6Q5PKAWN5CVMRJNTE}

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	2026-05-18T02:10:59.347483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cddab0ff22fa1d7a8166f4556452d9934f29a7dc673f762d8d136f1a633d5d6

Aliases

arxiv: 0911.0992 · arxiv_version: 0911.0992v2 · doi: 10.48550/arxiv.0911.0992 · pith_short_12: DTO2WD7SF6Q5 · pith_short_16: DTO2WD7SF6Q5PKAW · pith_short_8: DTO2WD7S

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/DTO2WD7SF6Q5PKAWN5CVMRJNTE \
  | 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: 1cddab0ff22fa1d7a8166f4556452d9934f29a7dc673f762d8d136f1a633d5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf70d800045769948334b6659acf62d1eaeec889223443f6e8941849b10e696a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-05T08:38:45Z",
    "title_canon_sha256": "31a320ee5ebb8003a3141812ed93c9714838e523d5f34dfad8946e47d938990b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0992",
    "kind": "arxiv",
    "version": 2
  }
}