Pith Number

pith:LCANUNTL

pith:2019:LCANUNTLRM5VYYQNKGOQQZFXCM

not attested not anchored not stored refs pending

Divide and Congruence III: From Decomposition of Modal Formulas to Preservation of Stability and Divergence

Bas Luttik, Rob van Glabbeek, Wan Fokkink

arxiv:1908.06550 v1 · 2019-08-19 · 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{LCANUNTLRM5VYYQNKGOQQZFXCM}

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	2026-07-04T23:58:17.034225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5880da366b8b3b5c620d519d0864b7132e4b685bf1beff034fd8866bb3d1b597

Aliases

arxiv: 1908.06550 · arxiv_version: 1908.06550v1 · doi: 10.48550/arxiv.1908.06550 · pith_short_12: LCANUNTLRM5V · pith_short_16: LCANUNTLRM5VYYQN · pith_short_8: LCANUNTL

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/LCANUNTLRM5VYYQNKGOQQZFXCM \
  | 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: 5880da366b8b3b5c620d519d0864b7132e4b685bf1beff034fd8866bb3d1b597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9794238e47e71f9b8d776a0d4dc1aeab81c22082ab326ef075eedf152edeacfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-08-19T01:21:17Z",
    "title_canon_sha256": "0fd790af1ab314184a26192bd0b485c867e18f38306cc5b82ea9d5ab9747bf9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06550",
    "kind": "arxiv",
    "version": 1
  }
}