Pith Number

pith:NGARCQBG

pith:2017:NGARCQBGBUHASF2VYRWJVUM3VY

not attested not anchored not stored refs pending

Feedforward and Recurrent Neural Networks Backward Propagation and Hessian in Matrix Form

Maxim Naumov

arxiv:1709.06080 v1 · 2017-09-16 · cs.LG · cs.AI · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGARCQBGBUHASF2VYRWJVUM3VY}

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	2026-05-18T00:34:54.448938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69811140260d0e091755c46c9ad19bae16a25e75fe0a6f66f3acb88bd4663b70

Aliases

arxiv: 1709.06080 · arxiv_version: 1709.06080v1 · doi: 10.48550/arxiv.1709.06080 · pith_short_12: NGARCQBGBUHA · pith_short_16: NGARCQBGBUHASF2V · pith_short_8: NGARCQBG

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/NGARCQBGBUHASF2VYRWJVUM3VY \
  | 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: 69811140260d0e091755c46c9ad19bae16a25e75fe0a6f66f3acb88bd4663b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e306d61bcea30cc8b1e09d55ed58cbc8d7c16d7361b8cb2ca231c7349151bc81",
    "cross_cats_sorted": [
      "cs.AI",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-09-16T18:59:17Z",
    "title_canon_sha256": "781c4e1336d8dba232598ae9193ef560e0795c1d8b4b9ef09350227480d03a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06080",
    "kind": "arxiv",
    "version": 1
  }
}