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Pith Number

pith:FUKMBBZF

pith:2011:FUKMBBZF7IPKLTJOBQJJ54ML4M
not attested not anchored not stored refs pending

Blending margins: The modal logic K has nullary unification type

Emil Je\v{r}\'abek

arxiv:1108.6240 v2 · 2011-08-31 · cs.LO · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FUKMBBZF7IPKLTJOBQJJ54ML4M}

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 2026-05-18T01:24:04.705126Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d14c08725fa1ea5cd2e0c129ef18be326a223b2a317932f1bec1c7520ca5da1

Aliases

arxiv: 1108.6240 · arxiv_version: 1108.6240v2 · doi: 10.48550/arxiv.1108.6240 · pith_short_12: FUKMBBZF7IPK · pith_short_16: FUKMBBZF7IPKLTJO · pith_short_8: FUKMBBZF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUKMBBZF7IPKLTJOBQJJ54ML4M \
  | 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: 2d14c08725fa1ea5cd2e0c129ef18be326a223b2a317932f1bec1c7520ca5da1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e31dd62a8cdad9265507a4244d571f257e6762a3bcd27ed9803b220cf27bfb11",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-08-31T14:28:52Z",
    "title_canon_sha256": "5d68c6fecb6eb74e49af85ba367bdc9d8fefea021ff085fdd2b068b7b05f1cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6240",
    "kind": "arxiv",
    "version": 2
  }
}