Pith Number

pith:PPAQ4QLD

pith:2019:PPAQ4QLDI6PMALD5XBLHQHYAYY

not attested not anchored not stored refs pending

Codensity Games for Bisimilarity

Bartek Klin, Ichiro Hasuo, Nick Hu, Shin-ya Katsumata, Yuichi Komorida

arxiv:1907.09634 v1 · 2019-07-22 · 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{PPAQ4QLDI6PMALD5XBLHQHYAYY}

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	2026-05-17T23:39:50.552814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21

Aliases

arxiv: 1907.09634 · arxiv_version: 1907.09634v1 · doi: 10.48550/arxiv.1907.09634 · pith_short_12: PPAQ4QLDI6PM · pith_short_16: PPAQ4QLDI6PMALD5 · pith_short_8: PPAQ4QLD

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/PPAQ4QLDI6PMALD5XBLHQHYAYY \
  | 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: 7bc10e4163479ec02c7db856781f00c631db4ea82ebbbc5c4a841045db3cdb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8095a78befb849dc55ef75f2ea5f688d650e254da25212d7a9cae49008529002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-07-22T23:48:19Z",
    "title_canon_sha256": "6c0b25977ecb95bc649b6861e66a53f48060e41df54fb64389e0125428ab3323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09634",
    "kind": "arxiv",
    "version": 1
  }
}