Pith Number

pith:TJA2A2VW

pith:2020:TJA2A2VWKTLUTI5LADQAHBIKDK

not attested not anchored not stored refs pending

Multi-dimensional Long-Run Average Problems for Vector Addition Systems with States

Jan Otop, Krishnendu Chatterjee, Thomas A. Henzinger

arxiv:2007.08917 v1 · 2020-07-17 · 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{TJA2A2VWKTLUTI5LADQAHBIKDK}

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	2026-07-05T01:19:58.719632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a41a06ab654d749a3ab00e003850a1abb252fab326075331bed3b59c7878cce

Aliases

arxiv: 2007.08917 · arxiv_version: 2007.08917v1 · doi: 10.48550/arxiv.2007.08917 · pith_short_12: TJA2A2VWKTLU · pith_short_16: TJA2A2VWKTLUTI5L · pith_short_8: TJA2A2VW

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/TJA2A2VWKTLUTI5LADQAHBIKDK \
  | 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: 9a41a06ab654d749a3ab00e003850a1abb252fab326075331bed3b59c7878cce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55404d515a09fb539df31c8efb9e27255b8aaec149156fca6f8d24ea69accea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2020-07-17T11:45:20Z",
    "title_canon_sha256": "32a436685993dabace6c8a95741131add106d02cf10ab53f547112a3d7c4e351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08917",
    "kind": "arxiv",
    "version": 1
  }
}