Pith Number

pith:2QBPLLOH

pith:2021:2QBPLLOHOGASE4REVIBX3G7OEC

not attested not anchored not stored refs pending

Geometric Hamilton-Jacobi theory for systems with external forces

Asier L\'opez-Gord\'on, Manuel de Le\'on, Manuel Lainz

arxiv:2109.13802 v2 · 2021-09-28 · math-ph · math.MP · math.SG · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QBPLLOHOGASE4REVIBX3G7OEC}

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	2026-07-05T04:14:25.615800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d402f5adc77181227224aa037d9bee209051a629fa1ca7873384af520f045dfc

Aliases

arxiv: 2109.13802 · arxiv_version: 2109.13802v2 · doi: 10.48550/arxiv.2109.13802 · pith_short_12: 2QBPLLOHOGAS · pith_short_16: 2QBPLLOHOGASE4RE · pith_short_8: 2QBPLLOH

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/2QBPLLOHOGASE4REVIBX3G7OEC \
  | 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: d402f5adc77181227224aa037d9bee209051a629fa1ca7873384af520f045dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33fa4c2bd7c9c887c6216a15bd329ce9befdbaed413e9e97008e6490155c8d1d",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-09-28T15:31:50Z",
    "title_canon_sha256": "5f10ead211ecc5fc3393329d96151a90a82bc353e52b1fc548545e749e22984f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13802",
    "kind": "arxiv",
    "version": 2
  }
}