Pith Number

pith:HXFD3G3V

pith:2014:HXFD3G3VFQWHA2KFJRA5YWS2GV

not attested not anchored not stored refs pending

Reachability in Two-Dimensional Vector Addition Systems with States is PSPACE-complete

Alain Finkel, Christoph Haase, Michael Blondin, Pierre McKenzie, Stefan G\"oller

arxiv:1412.4259 v1 · 2014-12-13 · cs.FL · cs.CC · 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{HXFD3G3VFQWHA2KFJRA5YWS2GV}

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	2026-05-18T00:48:33.262900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dca3d9b752c2c7069454c41dc5a5a35779cdcf9756fb86a30993e2d2d533cc3

Aliases

arxiv: 1412.4259 · arxiv_version: 1412.4259v1 · doi: 10.48550/arxiv.1412.4259 · pith_short_12: HXFD3G3VFQWH · pith_short_16: HXFD3G3VFQWHA2KF · pith_short_8: HXFD3G3V

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/HXFD3G3VFQWHA2KFJRA5YWS2GV \
  | 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: 3dca3d9b752c2c7069454c41dc5a5a35779cdcf9756fb86a30993e2d2d533cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc230bf4e96d3669b5474b9b301e8d0c597af51910bfda09885e55ea1282322c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-12-13T17:10:34Z",
    "title_canon_sha256": "fc1cff08fb9c27e8c5295da939fcd68028a23419a394d82421e817ffa56c8317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4259",
    "kind": "arxiv",
    "version": 1
  }
}