Pith Number

pith:GTZIRURJ

pith:2021:GTZIRURJNBX3L77VNASGFVWMCS

not attested not anchored not stored refs pending

Linear algebra with transformers

Fran\c{c}ois Charton

arxiv:2112.01898 v2 · 2021-12-03 · cs.LG · cs.CL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTZIRURJNBX3L77VNASGFVWMCS}

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

5 papers in Pith

Arithmetic Pedagogy for Language Models

Learning the symmetric group: large from small

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior

Reconstructing conformal field theoretical compositions with Transformers

Receipt and verification

First computed	2026-07-05T05:13:54.804041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f288d229686fb5fff5682462d6cc1494a2728b28369bd5855ae0f298516dc0

Aliases

arxiv: 2112.01898 · arxiv_version: 2112.01898v2 · doi: 10.48550/arxiv.2112.01898 · pith_short_12: GTZIRURJNBX3 · pith_short_16: GTZIRURJNBX3L77V · pith_short_8: GTZIRURJ

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/GTZIRURJNBX3L77VNASGFVWMCS \
  | 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: 34f288d229686fb5fff5682462d6cc1494a2728b28369bd5855ae0f298516dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddcfde783ee918ccf2a901c0fd5ef40339f0e60edb944b833a83abcb0199340",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-03T13:21:57Z",
    "title_canon_sha256": "09552c4fe7cc84468088868b64bd842c2915931d0963823496d999f77dd5a54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01898",
    "kind": "arxiv",
    "version": 2
  }
}