Pith Number

pith:PTUM2IBP

pith:2012:PTUM2IBPO6JQTST4R6FWE73HGU

not attested not anchored not stored refs pending

State succinctness of two-way finite automata with quantum and classical states

Daowen Qiu, Jozef Gruska, Lvzhou Li, Paulo Mateus, Shenggen Zheng

arxiv:1202.2651 v2 · 2012-02-13 · quant-ph · 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{PTUM2IBPO6JQTST4R6FWE73HGU}

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	2026-05-18T03:55:02.614564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659

Aliases

arxiv: 1202.2651 · arxiv_version: 1202.2651v2 · doi: 10.48550/arxiv.1202.2651 · pith_short_12: PTUM2IBPO6JQ · pith_short_16: PTUM2IBPO6JQTST4 · pith_short_8: PTUM2IBP

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/PTUM2IBPO6JQTST4R6FWE73HGU \
  | 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: 7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435b5383906294125836b8ae7959a30278b471f406ce0d8245186de59fb41ed0",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-13T07:42:40Z",
    "title_canon_sha256": "c09b728f88d02121686bf37004111991b5d2f1e3b48a8b11116a1cc60262cb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2651",
    "kind": "arxiv",
    "version": 2
  }
}