Pith Number

pith:GKTJIBSQ

pith:2010:GKTJIBSQ3FSOQESDDGRZX3R3RT

not attested not anchored not stored refs pending

Periodic orbits of a one dimensional non autonomous Hamiltonian system

Jacopo Bellazzini, Marco G. Ghimenti, Vieri Benci

arxiv:1012.5613 v1 · 2010-12-27 · math.CA · 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{GKTJIBSQ3FSOQESDDGRZX3R3RT}

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	2026-05-18T04:32:22.798249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a6940650d964e8124319a39bee3b8cd6835314566236de798f9e9203a4e8de

Aliases

arxiv: 1012.5613 · arxiv_version: 1012.5613v1 · doi: 10.48550/arxiv.1012.5613 · pith_short_12: GKTJIBSQ3FSO · pith_short_16: GKTJIBSQ3FSOQESD · pith_short_8: GKTJIBSQ

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/GKTJIBSQ3FSOQESDDGRZX3R3RT \
  | 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: 32a6940650d964e8124319a39bee3b8cd6835314566236de798f9e9203a4e8de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea669474e68a42ffa34dafdaf3da436e63ae0b9f9ace320d4369f712aa11d65",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-27T13:31:13Z",
    "title_canon_sha256": "e69fafd333ab6895f6f02e589e58fd246f032bcf41a467cf589c10904b7b7958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5613",
    "kind": "arxiv",
    "version": 1
  }
}