Pith Number

pith:FLEBEIX4

pith:2017:FLEBEIX4IRGNYYOETNUILH3H32

not attested not anchored not stored refs pending

Fisher-Rao Metric, Geometry, and Complexity of Neural Networks

Alexander Rakhlin, James Stokes, Tengyuan Liang, Tomaso Poggio

arxiv:1711.01530 v2 · 2017-11-05 · cs.LG · cs.AI · 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{FLEBEIX4IRGNYYOETNUILH3H32}

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

Deep network as memory space: complexity, generalization, disentangled representation and interpretability

Receipt and verification

First computed	2026-07-05T01:21:44.533772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac81222fc444cdc61c49b68859f67de8651bafb812146094cbe611b316699ab

Aliases

arxiv: 1711.01530 · arxiv_version: 1711.01530v2 · doi: 10.48550/arxiv.1711.01530 · pith_short_12: FLEBEIX4IRGN · pith_short_16: FLEBEIX4IRGNYYOE · pith_short_8: FLEBEIX4

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/FLEBEIX4IRGNYYOETNUILH3H32 \
  | 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: 2ac81222fc444cdc61c49b68859f67de8651bafb812146094cbe611b316699ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114f614c5ddd8f1beba8e8541d739f47a0f984fc31dda3375447ea0163ca9e0c",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-11-05T04:32:59Z",
    "title_canon_sha256": "ed8e31f17b95ac740916dc8a69ec0a756fe47b38ba936522b001ef7ceee13429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01530",
    "kind": "arxiv",
    "version": 2
  }
}