Pith Number

pith:HLL2CC4T

pith:2009:HLL2CC4TNI2YOIGSIAV3Z64VDP

not attested not anchored not stored refs pending

Quotient Complexity of Closed Languages

C. Zou, G. Jir\'askov\'a, J. Brzozowski

arxiv:0912.1034 v1 · 2009-12-05 · 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{HLL2CC4TNI2YOIGSIAV3Z64VDP}

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	2026-05-18T02:10:26.247713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad7a10b936a358720d2402bbcfb951bdc4a57d7c073accd69cfc2693d6eb080

Aliases

arxiv: 0912.1034 · arxiv_version: 0912.1034v1 · doi: 10.48550/arxiv.0912.1034 · pith_short_12: HLL2CC4TNI2Y · pith_short_16: HLL2CC4TNI2YOIGS · pith_short_8: HLL2CC4T

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/HLL2CC4TNI2YOIGSIAV3Z64VDP \
  | 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: 3ad7a10b936a358720d2402bbcfb951bdc4a57d7c073accd69cfc2693d6eb080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f83e83923060f17685dfead57dfcf2ecfc8a07871e719b56fa06343cc941d994",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2009-12-05T16:08:39Z",
    "title_canon_sha256": "a0b922207f9015821f16871ab91fc23aa2bc9299c0b132f54313b5b87a61c8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1034",
    "kind": "arxiv",
    "version": 1
  }
}