Pith Number

pith:OSQRYBVX

pith:2020:OSQRYBVXJL4D4WLWLX54EFLRY7

not attested not anchored not stored refs pending

A mathematical model for automatic differentiation in machine learning

Edouard Pauwels (IRIT-ADRIA), Jerome Bolte (TSE)

arxiv:2006.02080 v2 · 2020-06-03 · cs.LG · math.OC · 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{OSQRYBVXJL4D4WLWLX54EFLRY7}

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

Mathematical analysis of the gradients in deep learning

Receipt and verification

First computed	2026-07-05T01:47:30.793633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a11c06b74af83e59765dfbc21571c7e258e822cf615ce1893a4f4904b8f131

Aliases

arxiv: 2006.02080 · arxiv_version: 2006.02080v2 · doi: 10.48550/arxiv.2006.02080 · pith_short_12: OSQRYBVXJL4D · pith_short_16: OSQRYBVXJL4D4WLW · pith_short_8: OSQRYBVX

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/OSQRYBVXJL4D4WLWLX54EFLRY7 \
  | 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: 74a11c06b74af83e59765dfbc21571c7e258e822cf615ce1893a4f4904b8f131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f43fe5563bee87eda04e9f833bd754f8862d6b4fe369a0865b415c253b65b1",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-03T07:33:29Z",
    "title_canon_sha256": "1e1d34bce114c5a62a7f46a885b6dd2d14bfefef395549084a9861013f8e4661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02080",
    "kind": "arxiv",
    "version": 2
  }
}