Pith Number

pith:3FOFJPQZ

pith:2015:3FOFJPQZY5KQXMF4ZHK7MLJMQ5

not attested not anchored not stored refs pending

Distribution-based Bisimulation and Bisimulation Metric in Probabilistic Automata

Lei Song, Lijun Zhang, Yuan Feng

arxiv:1512.05027 v1 · 2015-12-16 · 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{3FOFJPQZY5KQXMF4ZHK7MLJMQ5}

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	2026-05-18T01:24:13.705034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95c54be19c7550bb0bcc9d5f62d2c876db8e4246e260447857009b614bc1406

Aliases

arxiv: 1512.05027 · arxiv_version: 1512.05027v1 · doi: 10.48550/arxiv.1512.05027 · pith_short_12: 3FOFJPQZY5KQ · pith_short_16: 3FOFJPQZY5KQXMF4 · pith_short_8: 3FOFJPQZ

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/3FOFJPQZY5KQXMF4ZHK7MLJMQ5 \
  | 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: d95c54be19c7550bb0bcc9d5f62d2c876db8e4246e260447857009b614bc1406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0593f518a09855558b11395baa66ef8784c09e8f7317109422436caf7f0b2831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-12-16T02:07:46Z",
    "title_canon_sha256": "fc61cff2a82b5bf5d046158c51c9dddb060c4ee1feffa493aed265565e528c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05027",
    "kind": "arxiv",
    "version": 1
  }
}