Pith Number

pith:GIQOX5KX

pith:2026:GIQOX5KXITHML66XX2UJFRKNHX

not attested not anchored not stored refs pending

CaLiSym: Learning Symplectic Dynamics of Real-World Systems through Structured Canonical Lifts

Aristotelis Papatheodorou, Gerard J. Milburn, Ioannis Havoutis, Natalia Ares, Pranav Vaidhyanathan

arxiv:2607.06824 v1 · 2026-07-07 · cs.RO · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIQOX5KXITHML66XX2UJFRKNHX}

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	2026-07-09T00:19:29.742475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3220ebf55744cec5fbd7bea892c54d3dd8368484f4693c0e92f40172c12c9595

Aliases

arxiv: 2607.06824 · arxiv_version: 2607.06824v1 · doi: 10.48550/arxiv.2607.06824 · pith_short_12: GIQOX5KXITHM · pith_short_16: GIQOX5KXITHML66X · pith_short_8: GIQOX5KX

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/GIQOX5KXITHML66XX2UJFRKNHX \
  | 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: 3220ebf55744cec5fbd7bea892c54d3dd8368484f4693c0e92f40172c12c9595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f0fc8ec51388c31a2dc640617d13050dc286c497c5b5e6ee8dfae0363c3b83",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-07-07T21:41:59Z",
    "title_canon_sha256": "5ebf2465674b7c971a96e23f783b78737f0c5652f9077a97138b7d5617335c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06824",
    "kind": "arxiv",
    "version": 1
  }
}