Pith Number

pith:4B2HLLPX

pith:2016:4B2HLLPX6OKPGK2OGXDJXERPWB

not attested not anchored not stored refs pending

Towers in filters, cardinal invariants, and Luzin type families

Barnab\'as Farkas, Jonathan Verner, J\"org Brendle

arxiv:1605.04735 v1 · 2016-05-16 · 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{4B2HLLPX6OKPGK2OGXDJXERPWB}

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	2026-05-18T01:14:46.385108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07475adf7f394f32b4e35c69b922fb05e2e9e679dd8793274840019dd50731b

Aliases

arxiv: 1605.04735 · arxiv_version: 1605.04735v1 · doi: 10.48550/arxiv.1605.04735 · pith_short_12: 4B2HLLPX6OKP · pith_short_16: 4B2HLLPX6OKPGK2O · pith_short_8: 4B2HLLPX

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/4B2HLLPX6OKPGK2OGXDJXERPWB \
  | 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: e07475adf7f394f32b4e35c69b922fb05e2e9e679dd8793274840019dd50731b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63128da5238839087ceba74eb0d6490b0a009f6d1b4edf6bb04eb7d9bc2c678b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-05-16T11:44:00Z",
    "title_canon_sha256": "e8a4470c791660c73b233100be330e4b7a24bd489901a146724ddbdf9a8582ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04735",
    "kind": "arxiv",
    "version": 1
  }
}