Pith Number

pith:K7LTLCXX

pith:2016:K7LTLCXXEO6EJV6QVO5RKPI2GS

not attested not anchored not stored refs pending

Separability of Reachability Sets of Vector Addition Systems

Charles Paperman, Lorenzo Clemente, S{\l}awomir Lasota, Wojciech Czerwi\'nski

arxiv:1609.00214 v1 · 2016-09-01 · 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{K7LTLCXXEO6EJV6QVO5RKPI2GS}

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	2026-05-18T01:06:26.627848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d7358af723bc44d7d0abbb153d1a34a95d2c63455ac893c285b0c69663aaa4

Aliases

arxiv: 1609.00214 · arxiv_version: 1609.00214v1 · doi: 10.48550/arxiv.1609.00214 · pith_short_12: K7LTLCXXEO6E · pith_short_16: K7LTLCXXEO6EJV6Q · pith_short_8: K7LTLCXX

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/K7LTLCXXEO6EJV6QVO5RKPI2GS \
  | 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: 57d7358af723bc44d7d0abbb153d1a34a95d2c63455ac893c285b0c69663aaa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4531f8f9e048c0bdb1feba7371e407f88e21de5000c22b7c0d62da9f89929f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-09-01T12:42:18Z",
    "title_canon_sha256": "3e3184a7caec4aafc0502a093fd171d30a9abea44ff597c722c70b9e06151cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00214",
    "kind": "arxiv",
    "version": 1
  }
}