Pith Number

pith:TNG767DF

pith:2015:TNG767DFN7B55HCR32PORNT6GL

not attested not anchored not stored refs pending

On the State Complexity of the Shuffle of Regular Languages

Aayush Rajasekaran, Bo Liu, Galina Jir\'askov\'a, Janusz Brzozowski, Marek Szyku{\l}a

arxiv:1512.01187 v3 · 2015-12-03 · 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{TNG767DFN7B55HCR32PORNT6GL}

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	2026-05-18T01:11:03.388141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4dff7c656fc3de9c51de9ee8b67e32fea9b41b8174140b22b340b09e9f9ace

Aliases

arxiv: 1512.01187 · arxiv_version: 1512.01187v3 · doi: 10.48550/arxiv.1512.01187 · pith_short_12: TNG767DFN7B5 · pith_short_16: TNG767DFN7B55HCR · pith_short_8: TNG767DF

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/TNG767DFN7B55HCR32PORNT6GL \
  | 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: 9b4dff7c656fc3de9c51de9ee8b67e32fea9b41b8174140b22b340b09e9f9ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bb6363d864e71ce0ad73301d48e81cd93c941125c243846322f589ee9a9475",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-12-03T18:51:56Z",
    "title_canon_sha256": "f61caa041937ff9e0f5044f158ae235592e58e1a6f58d4fe73bd80428a97550d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01187",
    "kind": "arxiv",
    "version": 3
  }
}