Pith Number

pith:MRTEDI44

pith:2015:MRTEDI44I2LLTGWD3G5V52SWJT

not attested not anchored not stored refs pending

Long-Run Average Behaviour of Probabilistic Vector Addition Systems

Antonin Kucera, Petr Novotny, Stefan Kiefer, Tomas Brazdil

arxiv:1505.02655 v2 · 2015-05-11 · 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{MRTEDI44I2LLTGWD3G5V52SWJT}

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	2026-05-18T01:42:47.480120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646641a39c4696b99ac3d9bb5eea564cecbf6509923bf92455500358b3a21682

Aliases

arxiv: 1505.02655 · arxiv_version: 1505.02655v2 · doi: 10.48550/arxiv.1505.02655 · pith_short_12: MRTEDI44I2LL · pith_short_16: MRTEDI44I2LLTGWD · pith_short_8: MRTEDI44

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/MRTEDI44I2LLTGWD3G5V52SWJT \
  | 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: 646641a39c4696b99ac3d9bb5eea564cecbf6509923bf92455500358b3a21682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98fa444a03bbdbd39de271def8558ee590f09122790a06f0e98048abcacc6634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-05-11T14:58:39Z",
    "title_canon_sha256": "1649a79edfacab0770ed30d8d05a95a882c091c8eabbfe5fdf3617ce77f7c5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02655",
    "kind": "arxiv",
    "version": 2
  }
}