Pith Number

pith:63FQ6MWE

pith:2016:63FQ6MWEDXPY64MYSW6XZSV2QD

not attested not anchored not stored refs pending

Evolving the Incremental {\lambda} Calculus into a Model of Forward Automatic Differentiation (AD)

Barak A. Pearlmutter, Jeffrey Mark Siskind, Robert Kelly

arxiv:1611.03429 v1 · 2016-11-10 · 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{63FQ6MWEDXPY64MYSW6XZSV2QD}

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	2026-05-18T00:59:35.299428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6cb0f32c41ddf8f719895bd7ccaba80f85efdb489501def1cf4a5e19f33708b

Aliases

arxiv: 1611.03429 · arxiv_version: 1611.03429v1 · doi: 10.48550/arxiv.1611.03429 · pith_short_12: 63FQ6MWEDXPY · pith_short_16: 63FQ6MWEDXPY64MY · pith_short_8: 63FQ6MWE

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/63FQ6MWEDXPY64MYSW6XZSV2QD \
  | 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: f6cb0f32c41ddf8f719895bd7ccaba80f85efdb489501def1cf4a5e19f33708b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ac8ccfdcfbbec8d1cb4e3445d7a584f9f118b3d1e698a8258c797b972e4832",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-11-10T18:06:43Z",
    "title_canon_sha256": "8a1aa116d60f1badaa83eaf090a5b26918938af60544957a19dc30705167337e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03429",
    "kind": "arxiv",
    "version": 1
  }
}