Pith Number

pith:344WO27B

pith:2020:344WO27BZYBY6O5DXRZPMFUQFN

not attested not anchored not stored refs pending

$\lambda_S$: Computable Semantics for Differentiable Programming with Higher-Order Functions and Datatypes

Benjamin Sherman, Jesse Michel, Michael Carbin

arxiv:2007.08017 v2 · 2020-07-15 · cs.PL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{344WO27BZYBY6O5DXRZPMFUQFN}

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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

1 paper in Pith

Higher Order Automatic Differentiation of Higher Order Functions

Receipt and verification

First computed	2026-07-05T02:31:59.775552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df39676be1ce038f3ba3bc72f616902b60c947a8271c01e245caaf1a01401051

Aliases

arxiv: 2007.08017 · arxiv_version: 2007.08017v2 · doi: 10.48550/arxiv.2007.08017 · pith_short_12: 344WO27BZYBY · pith_short_16: 344WO27BZYBY6O5D · pith_short_8: 344WO27B

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/344WO27BZYBY6O5DXRZPMFUQFN \
  | 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: df39676be1ce038f3ba3bc72f616902b60c947a8271c01e245caaf1a01401051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf28ed29c14099e1e3d5ed2f9dc17b6bb4e510b5fe3e45ef659b0a3f47552794",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2020-07-15T22:11:48Z",
    "title_canon_sha256": "fd7d3c95cf123f9ac315bf2ff6ff3183c452c47ac9fade429247078629bcc5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08017",
    "kind": "arxiv",
    "version": 2
  }
}