Pith Number

pith:FKKXVVMM

pith:2018:FKKXVVMMF4WAHZEAKCAXR2MKIT

not attested not anchored not stored refs pending

Learning Unions of k-Testable Languages

Alexis Linard, Colin de la Higuera, Frits Vaandrager

arxiv:1812.08269 v1 · 2018-12-19 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKKXVVMMF4WAHZEAKCAXR2MKIT}

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	2026-05-17T23:57:51.771357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a957ad58c2f2c03e480508178e98a44e4fefe47910260e75de63195be4d39ee

Aliases

arxiv: 1812.08269 · arxiv_version: 1812.08269v1 · doi: 10.48550/arxiv.1812.08269 · pith_short_12: FKKXVVMMF4WA · pith_short_16: FKKXVVMMF4WAHZEA · pith_short_8: FKKXVVMM

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/FKKXVVMMF4WAHZEAKCAXR2MKIT \
  | 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: 2a957ad58c2f2c03e480508178e98a44e4fefe47910260e75de63195be4d39ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94638eff37f93d21913814577a5b712a3a7ffcea0cac6d3d754b62cfd787bb3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2018-12-19T22:09:42Z",
    "title_canon_sha256": "4b815e1b3bdc1dc3335c38b9f9a19412972d78762269c57b339fa63c0560e0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08269",
    "kind": "arxiv",
    "version": 1
  }
}