Pith Number

pith:5GBHF2GH

pith:2026:5GBHF2GHGK7H626WD6EYAREMEO

not attested not anchored not stored refs pending

A Proof-Theoretic Study of Modal Logic

Hirohiko Kushida

arxiv:2605.18043 v1 · 2026-05-18 · 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{5GBHF2GHGK7H626WD6EYAREMEO}

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	2026-05-20T00:05:12.888394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98272e8c732be7f6bd61f8980448c23af9913eaeeb2f5e8ec30fe7f220df30a

Aliases

arxiv: 2605.18043 · arxiv_version: 2605.18043v1 · doi: 10.48550/arxiv.2605.18043 · pith_short_12: 5GBHF2GHGK7H · pith_short_16: 5GBHF2GHGK7H626W · pith_short_8: 5GBHF2GH

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/5GBHF2GHGK7H626WD6EYAREMEO \
  | 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: e98272e8c732be7f6bd61f8980448c23af9913eaeeb2f5e8ec30fe7f220df30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d11ed3d706663b588b076cd4360d0e3813a8c60e31dcc9337e23e9d3693611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-18T08:34:48Z",
    "title_canon_sha256": "20b615b5eabac4de71c77f058e955de7565874e556eee31d9c4441715fdde5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18043",
    "kind": "arxiv",
    "version": 1
  }
}