Pith Number

pith:BHXW2VCL

pith:2013:BHXW2VCLBL75EC54DXSD2QZGFZ

not attested not anchored not stored refs pending

Dualities in modal logic from the point of view of triples

Dirk Hofmann, Pedro Nora

arxiv:1302.5609 v1 · 2013-02-22 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHXW2VCLBL75EC54DXSD2QZGFZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:32:46.253137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ef6d544b0affd20bbc1de43d43262e5b1bc3be0d13387cffc0fe4200792edd

Aliases

arxiv: 1302.5609 · arxiv_version: 1302.5609v1 · doi: 10.48550/arxiv.1302.5609 · pith_short_12: BHXW2VCLBL75 · pith_short_16: BHXW2VCLBL75EC54 · pith_short_8: BHXW2VCL

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/BHXW2VCLBL75EC54DXSD2QZGFZ \
  | 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: 09ef6d544b0affd20bbc1de43d43262e5b1bc3be0d13387cffc0fe4200792edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5d00abc1a67117dce910c5070ebe2c2ac034f6cda30394ff2dc2274a08bea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-02-22T14:38:08Z",
    "title_canon_sha256": "e6dd27d49e86db20288d92619dc42e966a280b8dc9df90c3dd61f10df491531e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5609",
    "kind": "arxiv",
    "version": 1
  }
}