Pith Number

pith:VMHC6VAG

pith:2023:VMHC6VAG2ZF3KYY5TA4BWU2NIA

not attested not anchored not stored refs pending

A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning

J. Nathan Kutz, Nicholas Zolman, Samuel E. Otto, Steven L. Brunton

arxiv:2311.00212 v3 · 2023-11-01 · cs.LG · cs.NA · math.DG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMHC6VAG2ZF3KYY5TA4BWU2NIA}

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	2026-06-08T01:04:58.725636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0e2f5406d64bb5631d98381b534d400e4ff9902791898833e84d3c43a1c839

Aliases

arxiv: 2311.00212 · arxiv_version: 2311.00212v3 · doi: 10.48550/arxiv.2311.00212 · pith_short_12: VMHC6VAG2ZF3 · pith_short_16: VMHC6VAG2ZF3KYY5 · pith_short_8: VMHC6VAG

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/VMHC6VAG2ZF3KYY5TA4BWU2NIA \
  | 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: ab0e2f5406d64bb5631d98381b534d400e4ff9902791898833e84d3c43a1c839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc00675ad6fe8fa70e63c4a046159da85b7cfbc6098475514b22e8c7f4fd8c74",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-01T01:19:54Z",
    "title_canon_sha256": "815a2184a9859ccc7fa80788058493d477ccd3bfd25a6c973bfb0679112a5913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.00212",
    "kind": "arxiv",
    "version": 3
  }
}