Pith Number

pith:TVAB6M3R

pith:2013:TVAB6M3RBKOGS5USC65IHTWWJK

not attested not anchored not stored refs pending

When Equivalence and Bisimulation Join Forces in Probabilistic Automata

Lijun Zhang, Yuan Feng

arxiv:1311.3396 v2 · 2013-11-14 · cs.LO · 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{TVAB6M3RBKOGS5USC65IHTWWJK}

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	2026-05-18T02:56:51.666847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d401f33710a9c69769217ba83ced64aa797c6532541c8343403e1af2afc1341

Aliases

arxiv: 1311.3396 · arxiv_version: 1311.3396v2 · doi: 10.48550/arxiv.1311.3396 · pith_short_12: TVAB6M3RBKOG · pith_short_16: TVAB6M3RBKOGS5US · pith_short_8: TVAB6M3R

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/TVAB6M3RBKOGS5USC65IHTWWJK \
  | 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: 9d401f33710a9c69769217ba83ced64aa797c6532541c8343403e1af2afc1341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829625894b5f4b6bf84147e7012eec33d9224f4cb92a01033b27c21c7a0d3589",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-11-14T07:15:43Z",
    "title_canon_sha256": "a0ea1d34314708af787efcf49b2ef8ec6a29a325916ba70b2430594b07f5b5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3396",
    "kind": "arxiv",
    "version": 2
  }
}