Pith Number

pith:NO5PQVEF

pith:2026:NO5PQVEFV2YOCGEYW6EZ4U7JWL

not attested not anchored not stored refs pending

The complexity of downward closures of indexed languages

Corto Mascle, Georg Zetzsche, Richard Mandel

arxiv:2601.19466 v2 · 2026-01-27 · cs.FL · 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{NO5PQVEFV2YOCGEYW6EZ4U7JWL}

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

Infinite-state Games with Energy Objectives Beyond Counters

Receipt and verification

First computed	2026-05-28T02:04:45.552104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbaf85485aeb0e11898b7899e53e9b2fa8d04c66c29f545c693bc49f976cbee

Aliases

arxiv: 2601.19466 · arxiv_version: 2601.19466v2 · doi: 10.48550/arxiv.2601.19466 · pith_short_12: NO5PQVEFV2YO · pith_short_16: NO5PQVEFV2YOCGEY · pith_short_8: NO5PQVEF

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/NO5PQVEFV2YOCGEYW6EZ4U7JWL \
  | 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: 6bbaf85485aeb0e11898b7899e53e9b2fa8d04c66c29f545c693bc49f976cbee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98e2b58554e53cd678db22830444daab483ddd4caac96d065d279ac8152508e",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2026-01-27T10:49:13Z",
    "title_canon_sha256": "1ce3218e737d1d5dc46f11f50c1c8f90b16f9db2838cde1fc08f22a9f8b562b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19466",
    "kind": "arxiv",
    "version": 2
  }
}