Pith Number

pith:F56DMU3N

pith:2017:F56DMU3NYT5LNCB2VIYF5WTZLH

not attested not anchored not stored refs pending

Completely separably MAD families and the modal logic of $\beta\omega$

Jonathan L. Verner, Tom\'a\v{s} L\'avi\v{c}ka

arxiv:1709.06862 v1 · 2017-09-20 · math.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{F56DMU3NYT5LNCB2VIYF5WTZLH}

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	2026-05-18T00:34:40.240568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7c36536dc4fab6883aaa305eda7959ce595c7083df8b539ae5bfd3dc726623

Aliases

arxiv: 1709.06862 · arxiv_version: 1709.06862v1 · doi: 10.48550/arxiv.1709.06862 · pith_short_12: F56DMU3NYT5L · pith_short_16: F56DMU3NYT5LNCB2 · pith_short_8: F56DMU3N

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/F56DMU3NYT5LNCB2VIYF5WTZLH \
  | 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: 2f7c36536dc4fab6883aaa305eda7959ce595c7083df8b539ae5bfd3dc726623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bef9e9a0b1539ddb87055607a096a914364d330dc0d1777ac58eb45f29dacaf",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-09-20T13:47:58Z",
    "title_canon_sha256": "1938d4027c1f7583a252ea649cfc711d6f60367287ce04bbb8ebc132047bfa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06862",
    "kind": "arxiv",
    "version": 1
  }
}