Pith Number

pith:G4X3KHON

pith:2017:G4X3KHONMRPI47EGPTTRT4S5KH

not attested not anchored not stored refs pending

Group Invariance, Stability to Deformations, and Complexity of Deep Convolutional Representations

Alberto Bietti, Julien Mairal

arxiv:1706.03078 v4 · 2017-06-09 · stat.ML · 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{G4X3KHONMRPI47EGPTTRT4S5KH}

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	2026-05-17T23:54:07.630098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372fb51dcd645e8e7c867ce719f25d51c61aea8625b53ae5ba484ddca4b6d69d

Aliases

arxiv: 1706.03078 · arxiv_version: 1706.03078v4 · doi: 10.48550/arxiv.1706.03078 · pith_short_12: G4X3KHONMRPI · pith_short_16: G4X3KHONMRPI47EG · pith_short_8: G4X3KHON

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/G4X3KHONMRPI47EGPTTRT4S5KH \
  | 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: 372fb51dcd645e8e7c867ce719f25d51c61aea8625b53ae5ba484ddca4b6d69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6916a6f64fcdd1f4715990522db778d7cc68a64986fe4af0894f32bf6c358c5",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-06-09T18:02:47Z",
    "title_canon_sha256": "129ead07278ccb3138d00e44b29f39dd06898fd79278f0493f245e1adfcce6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03078",
    "kind": "arxiv",
    "version": 4
  }
}