Pith Number

pith:HJG7FQCG

pith:2013:HJG7FQCGBD5MWWMSTDAUXCJWJU

not attested not anchored not stored refs pending

Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities

Mitsuru Shibayama

arxiv:1307.4509 v1 · 2013-07-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJG7FQCGBD5MWWMSTDAUXCJWJU}

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	2026-05-18T03:18:17.765162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4df2c04608facb599298c14b89364d0114019a4b6903ff68ed236e1ad79f93

Aliases

arxiv: 1307.4509 · arxiv_version: 1307.4509v1 · doi: 10.48550/arxiv.1307.4509 · pith_short_12: HJG7FQCGBD5M · pith_short_16: HJG7FQCGBD5MWWMS · pith_short_8: HJG7FQCG

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/HJG7FQCGBD5MWWMSTDAUXCJWJU \
  | 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: 3a4df2c04608facb599298c14b89364d0114019a4b6903ff68ed236e1ad79f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b6f5d0b9855b381ea2acb8b628e6c6f764fc7e6d1fa7a8bf99cd78b6517639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-17T05:37:32Z",
    "title_canon_sha256": "327063b842e953a7994dd510507b46991a6320fc825e592c372f9e8b57d4df33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4509",
    "kind": "arxiv",
    "version": 1
  }
}