Pith Number

pith:GCZZ2DI4

pith:2026:GCZZ2DI4KPNWI33R3GJ5BOX2CD

not attested not anchored not stored refs pending

Halo Semantics for Modal Logic

Yo\`av Montacute

arxiv:2606.31885 v1 · 2026-06-30 · math.LO · cs.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCZZ2DI4KPNWI33R3GJ5BOX2CD}

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	2026-07-01T01:18:18.425176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b39d0d1c53db646f71d993d0bafa10c56b1e0c63aa749f92a8e0961be0c834

Aliases

arxiv: 2606.31885 · arxiv_version: 2606.31885v1 · doi: 10.48550/arxiv.2606.31885 · pith_short_12: GCZZ2DI4KPNW · pith_short_16: GCZZ2DI4KPNWI33R · pith_short_8: GCZZ2DI4

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/GCZZ2DI4KPNWI33R3GJ5BOX2CD \
  | 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: 30b39d0d1c53db646f71d993d0bafa10c56b1e0c63aa749f92a8e0961be0c834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d2f7cc1a2f6ca12b222588391d2499cd1ca6999d289418f944d8b78dff8377",
    "cross_cats_sorted": [
      "cs.LO",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-30T16:00:37Z",
    "title_canon_sha256": "1affe5a3c84c176f809b077a10b0e58dff7658e0b4fbadbb1f4462f53bcca095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31885",
    "kind": "arxiv",
    "version": 1
  }
}