Pith Number

pith:DGQZNJEE

pith:2024:DGQZNJEEWDOUZYBQWAG5GFCWCI

not attested not anchored not stored refs pending

Towards a theory of how the structure of language is acquired by deep neural networks

Francesco Cagnetta, Matthieu Wyart

arxiv:2406.00048 v3 · 2024-05-28 · cs.CL · cond-mat.dis-nn · 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{DGQZNJEEWDOUZYBQWAG5GFCWCI}

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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

2 papers in Pith

Statistical Properties of Training & Generalization

Receipt and verification

First computed	2026-07-05T09:27:54.725356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a196a484b0dd4ce030b00dd31456121f152ee524e41306fac20dafdb06c07c

Aliases

arxiv: 2406.00048 · arxiv_version: 2406.00048v3 · doi: 10.48550/arxiv.2406.00048 · pith_short_12: DGQZNJEEWDOU · pith_short_16: DGQZNJEEWDOUZYBQ · pith_short_8: DGQZNJEE

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/DGQZNJEEWDOUZYBQWAG5GFCWCI \
  | 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: 19a196a484b0dd4ce030b00dd31456121f152ee524e41306fac20dafdb06c07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee10239a0ee8077ab5b7a007114fbb52e33801c0bbef1a3c7b465b166f580bf6",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-05-28T17:01:22Z",
    "title_canon_sha256": "78b71155938f87dbbf6f36ad1d13925d6e2cff97b4ac4e3e125af48a3250eaea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.00048",
    "kind": "arxiv",
    "version": 3
  }
}