Pith Number

pith:O4BLM4LL

pith:2012:O4BLM4LL7ZH2JHQWU6DB43ZRD4

not attested not anchored not stored refs pending

Structural connections between a forcing class and its modal logic

Benedikt L\"owe, George Leibman, Joel David Hamkins

arxiv:1207.5841 v1 · 2012-07-24 · math.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{O4BLM4LL7ZH2JHQWU6DB43ZRD4}

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	2026-05-18T03:50:10.171062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7702b6716bfe4fa49e16a7861e6f311f19aa4f6e612ff3a03332e7e6d2d7db25

Aliases

arxiv: 1207.5841 · arxiv_version: 1207.5841v1 · doi: 10.48550/arxiv.1207.5841 · pith_short_12: O4BLM4LL7ZH2 · pith_short_16: O4BLM4LL7ZH2JHQW · pith_short_8: O4BLM4LL

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/O4BLM4LL7ZH2JHQWU6DB43ZRD4 \
  | 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: 7702b6716bfe4fa49e16a7861e6f311f19aa4f6e612ff3a03332e7e6d2d7db25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5db713948260d8e6cb01c207efcf178b8850cea66929dd12ac6eb00772318a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-24T22:30:08Z",
    "title_canon_sha256": "583f3b38d00102c119a268f6f3478e34543ba365fcdd5370a6f7a40737eac580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5841",
    "kind": "arxiv",
    "version": 1
  }
}