Pith Number

pith:HKKYPH2B

pith:2013:HKKYPH2BAPGUFNRYIXB32UZZ6K

not attested not anchored not stored refs pending

Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Leonardo Colombo, Manuel de Le\'on, Narciso Rom\'an-Roy, Pedro Daniel Prieto-Mart\'inez

arxiv:1309.2166 v2 · 2013-09-09 · 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{HKKYPH2BAPGUFNRYIXB32UZZ6K}

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	2026-05-18T02:51:08.418947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a95879f4103cd42b63845c3bd5339f289ef10ee08f33a93df5aa32725c4f66b

Aliases

arxiv: 1309.2166 · arxiv_version: 1309.2166v2 · doi: 10.48550/arxiv.1309.2166 · pith_short_12: HKKYPH2BAPGU · pith_short_16: HKKYPH2BAPGUFNRY · pith_short_8: HKKYPH2B

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/HKKYPH2BAPGUFNRYIXB32UZZ6K \
  | 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: 3a95879f4103cd42b63845c3bd5339f289ef10ee08f33a93df5aa32725c4f66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d346c177493ece5937ff37295714ee861ff3d6816122f01e68a8d14f8b99c7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-09T14:16:18Z",
    "title_canon_sha256": "01010740573246d6356972d8f4c580b53b897be160828d0da6fc570bbc7dc305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2166",
    "kind": "arxiv",
    "version": 2
  }
}