Pith Number

pith:TNXMAAWT

pith:2010:TNXMAAWTCK7VZXUXHYCA5MYQSJ

not attested not anchored not stored refs pending

Singularities of integrable Hamiltonian systems: a criterion for non-degeneracy, with an application to the Manakov top

Dmitry Tonkonog

arxiv:1009.0863 v3 · 2010-09-04 · nlin.SI · math-ph · math.DS · math.MP · 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{TNXMAAWTCK7VZXUXHYCA5MYQSJ}

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	2026-05-18T04:10:09.054730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6ec002d312bf5cde973e040eb31092451f8bd3c0367949a5c7bf41cf6a3291

Aliases

arxiv: 1009.0863 · arxiv_version: 1009.0863v3 · doi: 10.48550/arxiv.1009.0863 · pith_short_12: TNXMAAWTCK7V · pith_short_16: TNXMAAWTCK7VZXUX · pith_short_8: TNXMAAWT

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/TNXMAAWTCK7VZXUXHYCA5MYQSJ \
  | 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: 9b6ec002d312bf5cde973e040eb31092451f8bd3c0367949a5c7bf41cf6a3291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2e04b10dfa0ad356cda148cd6c38f3be50a7e45306e39a653f0034522dd839",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-09-04T19:38:53Z",
    "title_canon_sha256": "20314e92379a7fedf3f9b802d1d49482fb3cff7e4940797ee28fd4734b23a546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0863",
    "kind": "arxiv",
    "version": 3
  }
}