Pith Number

pith:J75XWBZL

pith:2013:J75XWBZLGLZOPLC4JWXTUCLJFX

not attested not anchored not stored refs pending

A Theory of Changes for Higher-Order Languages - Incrementalizing {\lambda}-Calculi by Static Differentiation

Klaus Ostermann, Paolo G. Giarrusso, Tillmann Rendel, Yufei Cai

arxiv:1312.0658 v1 · 2013-12-02 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J75XWBZLGLZOPLC4JWXTUCLJFX}

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	2026-05-18T03:05:37.026330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffb7b072b32f2e7ac5c4daf3a09692dd86c4c20e2a2d45fc982fdd887f4b174

Aliases

arxiv: 1312.0658 · arxiv_version: 1312.0658v1 · doi: 10.48550/arxiv.1312.0658 · pith_short_12: J75XWBZLGLZO · pith_short_16: J75XWBZLGLZOPLC4 · pith_short_8: J75XWBZL

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/J75XWBZLGLZOPLC4JWXTUCLJFX \
  | 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: 4ffb7b072b32f2e7ac5c4daf3a09692dd86c4c20e2a2d45fc982fdd887f4b174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad23976d765764d4f454f8afeff25cc24d19526cf9019c8f9afebc3c0f488dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2013-12-02T23:23:36Z",
    "title_canon_sha256": "12f59c8124caadcae95c7104b906b6aa9907c0a058a18a6250827a67f9a8e024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0658",
    "kind": "arxiv",
    "version": 1
  }
}