Pith Number

pith:UDOB5UEB

pith:2014:UDOB5UEBPTJCDTMMYQHGGY3TWN

not attested not anchored not stored refs pending

Computing downward closures for stacked counter automata

Georg Zetzsche

arxiv:1409.7922 v1 · 2014-09-28 · cs.FL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDOB5UEBPTJCDTMMYQHGGY3TWN}

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	2026-05-18T02:41:34.064527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0dc1ed0817cd221cd8cc40e636373b34d00589b42ddd19ca37c7964f9eed071

Aliases

arxiv: 1409.7922 · arxiv_version: 1409.7922v1 · doi: 10.48550/arxiv.1409.7922 · pith_short_12: UDOB5UEBPTJC · pith_short_16: UDOB5UEBPTJCDTMM · pith_short_8: UDOB5UEB

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/UDOB5UEBPTJCDTMMYQHGGY3TWN \
  | 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: a0dc1ed0817cd221cd8cc40e636373b34d00589b42ddd19ca37c7964f9eed071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5d96a7549a795a061c7f6787b623161f346c5a1473cf02405afdfb89f723e8",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-09-28T15:35:44Z",
    "title_canon_sha256": "0d4640b08dd9b8d777e4747b17fb252358c9856f54bd4b90d8486c882897a528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7922",
    "kind": "arxiv",
    "version": 1
  }
}