Pith Number

pith:VHIXBBX5

pith:2019:VHIXBBX55UI57HYPD6DYGGJEZ6

not attested not anchored not stored refs pending

Linear instability for periodic orbits of non-autonomous Lagrangian systems

Alessandro Portaluri, Li Wu, Ran Yang

arxiv:1907.05864 v1 · 2019-07-12 · math.DS · 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{VHIXBBX55UI57HYPD6DYGGJEZ6}

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	2026-05-17T23:40:44.094575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d17086fded11df9f0f1f87831924cf9280c3497996b83e3beec9e383f160a0

Aliases

arxiv: 1907.05864 · arxiv_version: 1907.05864v1 · doi: 10.48550/arxiv.1907.05864 · pith_short_12: VHIXBBX55UI5 · pith_short_16: VHIXBBX55UI57HYP · pith_short_8: VHIXBBX5

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/VHIXBBX55UI57HYPD6DYGGJEZ6 \
  | 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: a9d17086fded11df9f0f1f87831924cf9280c3497996b83e3beec9e383f160a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d2a30ca64498e2455ffb0daec8c031f7a79c3f95d014011fce037a4688960f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-12T17:32:00Z",
    "title_canon_sha256": "b521946e119d20d49accdc84aebf3b2ab386ce876c097a052d20ddac04180bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05864",
    "kind": "arxiv",
    "version": 1
  }
}