Pith Number

pith:AIXOKJEZ

pith:2021:AIXOKJEZKGA2JMK2PEKI7OBW76

not attested not anchored not stored refs pending

CHAD for Expressive Total Languages

Fernando Lucatelli Nunes, Matthijs V\'ak\'ar

arxiv:2110.00446 v2 · 2021-10-01 · cs.PL · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIXOKJEZKGA2JMK2PEKI7OBW76}

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

CHAD: Combinatory Homomorphic Automatic Differentiation

Receipt and verification

First computed	2026-07-05T07:11:11.547086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022ee524995181a4b15a79148fb836ffbdd940bf18e33509034b182980dfd2b5

Aliases

arxiv: 2110.00446 · arxiv_version: 2110.00446v2 · doi: 10.48550/arxiv.2110.00446 · pith_short_12: AIXOKJEZKGA2 · pith_short_16: AIXOKJEZKGA2JMK2 · pith_short_8: AIXOKJEZ

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/AIXOKJEZKGA2JMK2PEKI7OBW76 \
  | 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: 022ee524995181a4b15a79148fb836ffbdd940bf18e33509034b182980dfd2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8094cc97c885b180a658ffaee330f875a99301f507c4527d0abda3f01ea02aec",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2021-10-01T14:30:30Z",
    "title_canon_sha256": "486728acdc2c9be0565a3cf51a654987e114186993380228049c086a6c3ecd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00446",
    "kind": "arxiv",
    "version": 2
  }
}