Pith Number

pith:C4GUFSU3

pith:2021:C4GUFSU3HAKAHPNAVLFDQG7RJM

not attested not anchored not stored refs pending

Scalars are universal: Equivariant machine learning, structured like classical physics

Ben Blum-Smith (NYU), David W. Hogg (Flatiron, Kate Storey-Fisher (NYU), NYU), Soledad Villar (JHU), Weichi Yao (NYU)

arxiv:2106.06610 v4 · 2021-06-11 · cs.LG · math-ph · math.MP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4GUFSU3HAKAHPNAVLFDQG7RJM}

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.

Cited by

1 paper in Pith

Learning the Universe with the 2nd Generation of CAMELS: Varying 35 parameters of the IllustrisTNG model in (50Mpc/h)^3 boxes

Receipt and verification

First computed	2026-07-05T05:39:49.163519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170d42ca9b381403bda0aaca381bf14b08f1e2f1a9992578893594a0e1f811c0

Aliases

arxiv: 2106.06610 · arxiv_version: 2106.06610v4 · doi: 10.48550/arxiv.2106.06610 · pith_short_12: C4GUFSU3HAKA · pith_short_16: C4GUFSU3HAKAHPNA · pith_short_8: C4GUFSU3

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/C4GUFSU3HAKAHPNAVLFDQG7RJM \
  | 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: 170d42ca9b381403bda0aaca381bf14b08f1e2f1a9992578893594a0e1f811c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427bf3f8737a473117ed44f80af63069035ab99a5b5efbcdf84a2f5e9f9e4317",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-11T20:51:38Z",
    "title_canon_sha256": "3b69c3f7ecd170e4de6b1d88bf8ce6a9c0bec7910df29e50dce7c922e8ea59f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06610",
    "kind": "arxiv",
    "version": 4
  }
}