Pith Number

pith:WF7IRKAV

pith:2010:WF7IRKAVR7I5MKPV2H67JR7WWY

not attested not anchored not stored refs pending

State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation

Bo Cui, Lila Kari, Sheng Yu, Yuan Gao

arxiv:1006.4646 v1 · 2010-06-23 · 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{WF7IRKAVR7I5MKPV2H67JR7WWY}

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	2026-07-04T17:30:51.770361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17e88a8158fd1d629f5d1fdf4c7f6b61f9e822dc02b1e719b88c65e6b32e4ef

Aliases

arxiv: 1006.4646 · arxiv_version: 1006.4646v1 · doi: 10.48550/arxiv.1006.4646 · pith_short_12: WF7IRKAVR7I5 · pith_short_16: WF7IRKAVR7I5MKPV · pith_short_8: WF7IRKAV

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/WF7IRKAVR7I5MKPV2H67JR7WWY \
  | 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: b17e88a8158fd1d629f5d1fdf4c7f6b61f9e822dc02b1e719b88c65e6b32e4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1200d54dc333d8c9b12b50512760b694eaaa6457ae647bcf973aef8d92b5e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-06-23T21:27:17Z",
    "title_canon_sha256": "dd46c15e3de25307457a90797c2261514449a4f0f88df107514ce7ee0d7f2f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4646",
    "kind": "arxiv",
    "version": 1
  }
}