Pith Number

pith:MMZ3LW4S

pith:2012:MMZ3LW4S3DS2PDIDSJ7MCSI4D2

not attested not anchored not stored refs pending

Jacobi vector fields for Lagrangian systems on algebroids

Michal Jozwikowski

arxiv:1205.5952 v1 · 2012-05-27 · math.DG · 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{MMZ3LW4S3DS2PDIDSJ7MCSI4D2}

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	2026-05-18T03:28:56.353843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6333b5db92d8e5a78d03927ec1491c1eb6feb58a53b394d88c829607edf90609

Aliases

arxiv: 1205.5952 · arxiv_version: 1205.5952v1 · doi: 10.48550/arxiv.1205.5952 · pith_short_12: MMZ3LW4S3DS2 · pith_short_16: MMZ3LW4S3DS2PDID · pith_short_8: MMZ3LW4S

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/MMZ3LW4S3DS2PDIDSJ7MCSI4D2 \
  | 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: 6333b5db92d8e5a78d03927ec1491c1eb6feb58a53b394d88c829607edf90609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82b8d68d4f8edc3165a53d996d02fad8ceb4dc3d3c5f42351c55f5a44482628",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-27T09:44:47Z",
    "title_canon_sha256": "bff60ebc55051c6d215b9f3f93ca8dcf7ece63718ea4376895f4f56b4435427e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5952",
    "kind": "arxiv",
    "version": 1
  }
}