Pith Number

pith:YRDTF3C5

pith:2026:YRDTF3C5R7XTX55S6G4W7I7CZ5

not attested not anchored not stored refs pending

Fundamental Propositional Logic with Preconditional: Strong Completeness, Finite Model Property, and Modal Translations

Zhicheng Chen

arxiv:2607.20221 v1 · 2026-07-22 · math.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{YRDTF3C5R7XTX55S6G4W7I7CZ5}

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	2026-07-23T01:25:08.405927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44732ec5d8fef3bf7b2f1b96fa3e2cf67da9163b4f547c3f57098c336e482c5

Aliases

arxiv: 2607.20221 · arxiv_version: 2607.20221v1 · doi: 10.48550/arxiv.2607.20221 · pith_short_12: YRDTF3C5R7XT · pith_short_16: YRDTF3C5R7XTX55S · pith_short_8: YRDTF3C5

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/YRDTF3C5R7XTX55S6G4W7I7CZ5 \
  | 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: c44732ec5d8fef3bf7b2f1b96fa3e2cf67da9163b4f547c3f57098c336e482c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbfa97506c176eadcaddc1c294f1b76ef67a49127dbdae2cc9eea103e49b7736",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-22T14:40:00Z",
    "title_canon_sha256": "60064513d4ec5e913be5af604600c100e0fc7bd420c3df981ec12fb0df5a1ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20221",
    "kind": "arxiv",
    "version": 1
  }
}