Pith Number

pith:BEV3NUNC

pith:2017:BEV3NUNCDU2CQCDRWN53FJAGBG

not attested not anchored not stored refs pending

Backprop as Functor: A compositional perspective on supervised learning

Brendan Fong, David I. Spivak, R\'emy Tuy\'eras

arxiv:1711.10455 v3 · 2017-11-28 · math.CT · cs.AI · 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{BEV3NUNCDU2CQCDRWN53FJAGBG}

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

From Mechanistic to Compositional Interpretability

Receipt and verification

First computed	2026-05-17T23:47:16.159667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092bb6d1a21d34280871b37bb2a4060999e8ade8185088ba5f0d97b65ccf2ae5

Aliases

arxiv: 1711.10455 · arxiv_version: 1711.10455v3 · doi: 10.48550/arxiv.1711.10455 · pith_short_12: BEV3NUNCDU2C · pith_short_16: BEV3NUNCDU2CQCDR · pith_short_8: BEV3NUNC

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/BEV3NUNCDU2CQCDRWN53FJAGBG \
  | 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: 092bb6d1a21d34280871b37bb2a4060999e8ade8185088ba5f0d97b65ccf2ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442ef518d086ff903d333a607fa0863f019d3577563bffcde6f7387a8e56cf1b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-11-28T18:34:45Z",
    "title_canon_sha256": "28e3610d71c56388f626a754ed4961ec890df27fb464544a24e32966e232aca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10455",
    "kind": "arxiv",
    "version": 3
  }
}