Pith Number

pith:4LFZTJYP

pith:2021:4LFZTJYPQ65UPD6TFHCKT7JS3S

not attested not anchored not stored refs pending

A deep learning theory for neural networks grounded in physics

Benjamin Scellier

arxiv:2103.09985 v2 · 2021-03-18 · 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{4LFZTJYPQ65UPD6TFHCKT7JS3S}

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

Perturbative Contrastive Physical Learning

Receipt and verification

First computed	2026-07-05T02:34:47.807612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cb99a70f87bb478fd329c4a9fd32dcb24cb44a5c7933fcc1c7263cb144db84

Aliases

arxiv: 2103.09985 · arxiv_version: 2103.09985v2 · doi: 10.48550/arxiv.2103.09985 · pith_short_12: 4LFZTJYPQ65U · pith_short_16: 4LFZTJYPQ65UPD6T · pith_short_8: 4LFZTJYP

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/4LFZTJYPQ65UPD6TFHCKT7JS3S \
  | 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: e2cb99a70f87bb478fd329c4a9fd32dcb24cb44a5c7933fcc1c7263cb144db84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4e12f484393719764c90ec70fa471dd1022e44b157a828fcbea68bd88703b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-18T02:12:48Z",
    "title_canon_sha256": "d6a0070fed3ed0e0ee5b1ba75c1aa2cdfc699207359e283d12e12eeb2b6ff0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09985",
    "kind": "arxiv",
    "version": 2
  }
}