Pith Number

pith:ZQKECO2Q

pith:2010:ZQKECO2QIIDFSLTKJZQR2UYQPS

not attested not anchored not stored refs pending

Bisimulations for fuzzy transition systems

Etienne Kerre, Guoqing Chen, Yongzhi Cao

arxiv:1012.2148 v1 · 2010-12-10 · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQKECO2QIIDFSLTKJZQR2UYQPS}

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	2026-05-18T00:59:10.585594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc14413b504206592e6a4e611d53107cbeb531d128f236748e56cae23d68e979

Aliases

arxiv: 1012.2148 · arxiv_version: 1012.2148v1 · doi: 10.48550/arxiv.1012.2148 · pith_short_12: ZQKECO2QIIDF · pith_short_16: ZQKECO2QIIDFSLTK · pith_short_8: ZQKECO2Q

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/ZQKECO2QIIDFSLTKJZQR2UYQPS \
  | 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: cc14413b504206592e6a4e611d53107cbeb531d128f236748e56cae23d68e979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7db81792ebdf14b35da464a3a6982a8f42078d48e59e96863b063030209c69",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2010-12-10T00:24:42Z",
    "title_canon_sha256": "777822319328b1f257394b840f82c359151d43c8cb9c0fe8ff6b82b73a12b80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2148",
    "kind": "arxiv",
    "version": 1
  }
}