Pith Number

pith:A6S2PHIO

pith:2018:A6S2PHIODC2DRB5QVNDPNZXQOO

not attested not anchored not stored refs pending

Equivalence between Type I Liouville dynamical systems in the plane and the sphere

J. Mateos Guilarte, M.A. Gonzalez Leon, M. de la Torre Mayado

arxiv:1810.12028 v1 · 2018-10-29 · 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{A6S2PHIODC2DRB5QVNDPNZXQOO}

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	2026-05-18T00:02:06.665764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a5a79d0e18b43887b0ab46f6e6f073b5e8ef217735deb87969b7d9fb4b34be

Aliases

arxiv: 1810.12028 · arxiv_version: 1810.12028v1 · doi: 10.48550/arxiv.1810.12028 · pith_short_12: A6S2PHIODC2D · pith_short_16: A6S2PHIODC2DRB5Q · pith_short_8: A6S2PHIO

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/A6S2PHIODC2DRB5QVNDPNZXQOO \
  | 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: 07a5a79d0e18b43887b0ab46f6e6f073b5e8ef217735deb87969b7d9fb4b34be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f963de7a2806205a1858c8b8d7bca1443cb590b67ecbcf9d1647883ef14e75",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-29T09:43:57Z",
    "title_canon_sha256": "06d5cb550bd731cbefe466a229dfec3c3a419c8216905da70b2d5a3e4422de56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12028",
    "kind": "arxiv",
    "version": 1
  }
}