Pith Number

pith:VDZHLOWZ

pith:2019:VDZHLOWZR7PELGGJF57XU2YUCQ

not attested not anchored not stored refs pending

Variational principle for bifurcation in Lagrangian mechanics

Hiroshi Fukuda, Hiroshi Ozaki, Toshiaki Fujiwara

arxiv:1905.11073 v1 · 2019-05-27 · physics.class-ph · 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{VDZHLOWZR7PELGGJF57XU2YUCQ}

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	2026-05-17T23:45:02.993665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f275bad98fde4598c92f7f7a6b14140b28cd0020d77c5637960967fbd5ca50

Aliases

arxiv: 1905.11073 · arxiv_version: 1905.11073v1 · doi: 10.48550/arxiv.1905.11073 · pith_short_12: VDZHLOWZR7PE · pith_short_16: VDZHLOWZR7PELGGJ · pith_short_8: VDZHLOWZ

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/VDZHLOWZR7PELGGJF57XU2YUCQ \
  | 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: a8f275bad98fde4598c92f7f7a6b14140b28cd0020d77c5637960967fbd5ca50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2efd9e644fd34dcec83b5cf9b486c0a93f7228722381d6e73bd4bee896a43a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2019-05-27T09:25:16Z",
    "title_canon_sha256": "1b1040c6ebad5d1ba9a010cf458431b5ec51fbbf59398d0bad71f8397bb8192c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11073",
    "kind": "arxiv",
    "version": 1
  }
}