Pith Number

pith:WFGZSOJ3

pith:2020:WFGZSOJ3BMC7GLKBRWIWFRG3TZ

not attested not anchored not stored refs pending

A Principle of Least Action for the Training of Neural Networks

Emmanuel de B\'ezenac, Ibrahim Ayed, Patrick Gallinari, Skander Karkar

arxiv:2009.08372 v4 · 2020-09-17 · 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{WFGZSOJ3BMC7GLKBRWIWFRG3TZ}

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	2026-07-05T02:49:12.636785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14d99393b0b05f32d418d9162c4db9e68d6148c2fc5d65635475b1f9803a4c9

Aliases

arxiv: 2009.08372 · arxiv_version: 2009.08372v4 · doi: 10.48550/arxiv.2009.08372 · pith_short_12: WFGZSOJ3BMC7 · pith_short_16: WFGZSOJ3BMC7GLKB · pith_short_8: WFGZSOJ3

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/WFGZSOJ3BMC7GLKBRWIWFRG3TZ \
  | 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: b14d99393b0b05f32d418d9162c4db9e68d6148c2fc5d65635475b1f9803a4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9f5615895df7976b576dbc7b6b82d7cb0b972694372564b4e73cb53210272b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-09-17T15:37:34Z",
    "title_canon_sha256": "8f45a0d75904c69fc7f18dbd73a49d51edf72e2ef0a4f26b7e9093dac672c497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.08372",
    "kind": "arxiv",
    "version": 4
  }
}