Pith Number

pith:G26Q2CN3

pith:2018:G26Q2CN3PQNMRSIMP7MGPPVDXG

not attested not anchored not stored refs pending

A Quantum Query Complexity Trichotomy for Regular Languages

Daniel Grier, Luke Schaeffer, Scott Aaronson

arxiv:1812.04219 v3 · 2018-12-11 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G26Q2CN3PQNMRSIMP7MGPPVDXG}

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	2026-05-17T23:48:31.259753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bd0d09bb7c1ac8c90c7fd867bea3b9b5c11b5cf599f48bb1a4bcbfbd2c11af

Aliases

arxiv: 1812.04219 · arxiv_version: 1812.04219v3 · doi: 10.48550/arxiv.1812.04219 · pith_short_12: G26Q2CN3PQNM · pith_short_16: G26Q2CN3PQNMRSIM · pith_short_8: G26Q2CN3

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/G26Q2CN3PQNMRSIMP7MGPPVDXG \
  | 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: 36bd0d09bb7c1ac8c90c7fd867bea3b9b5c11b5cf599f48bb1a4bcbfbd2c11af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e819fc4c2f3d19e048115aa477cc5805dbe5c8e5c3b99317164ff18a5549e82",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-12-11T05:00:52Z",
    "title_canon_sha256": "cd3e1915a03542d1f8c9119b03c50dde22ca7704de51df74a1851eeca7fb3aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04219",
    "kind": "arxiv",
    "version": 3
  }
}