pith. sign in
Pith Number

pith:OMYUQZHS

pith:2013:OMYUQZHSVJTRRNHARNJGWF4WWJ
not attested not anchored not stored refs pending

Rules with parameters in modal logic I

Emil Je\v{r}\'abek

arxiv:1305.4912 v2 · 2013-05-21 · cs.LO · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OMYUQZHSVJTRRNHARNJGWF4WWJ}

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 2026-05-18T02:05:24.711590Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

73314864f2aa6718b4e08b526b1796b257626f009d161ef0e9990a27f114c22c

Aliases

arxiv: 1305.4912 · arxiv_version: 1305.4912v2 · doi: 10.48550/arxiv.1305.4912 · pith_short_12: OMYUQZHSVJTR · pith_short_16: OMYUQZHSVJTRRNHA · pith_short_8: OMYUQZHS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OMYUQZHSVJTRRNHARNJGWF4WWJ \
  | 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: 73314864f2aa6718b4e08b526b1796b257626f009d161ef0e9990a27f114c22c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8e5aef07fec55c99c546c940916e4258d1cdf046da8f73691a5ab5c962f50fc",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-05-21T18:48:22Z",
    "title_canon_sha256": "ecd1942b8dd611712f174cd97921414646f3d440fe0fb77eb9cb8df43f4a3949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4912",
    "kind": "arxiv",
    "version": 2
  }
}