Pith Number

pith:25WQ3K4B

pith:2021:25WQ3K4B7U5VFLOAS5OZ4MB6LP

not attested not anchored not stored refs pending

Distributivity and Minimality in Perfect Tree Forcings for Singular Cardinals

Heike Mildenberger, Maxwell Levine

arxiv:2110.03648 v1 · 2021-10-07 · 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{25WQ3K4B7U5VFLOAS5OZ4MB6LP}

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	2026-07-05T03:20:44.505250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76d0dab81fd3b52adc0975d9e303e5bea59b073f63e356c494ebf24a3d823e3

Aliases

arxiv: 2110.03648 · arxiv_version: 2110.03648v1 · doi: 10.48550/arxiv.2110.03648 · pith_short_12: 25WQ3K4B7U5V · pith_short_16: 25WQ3K4B7U5VFLOA · pith_short_8: 25WQ3K4B

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/25WQ3K4B7U5VFLOAS5OZ4MB6LP \
  | 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: d76d0dab81fd3b52adc0975d9e303e5bea59b073f63e356c494ebf24a3d823e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6486bc86201a985adbaf35bed3a6961c37b0fa66eacb53cd79a2415b03e4b91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-10-07T17:38:43Z",
    "title_canon_sha256": "18b36d1a57ffc0fc208ad6e4c82bb551fecc3efa0e10a5b9bff69f75c4654617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03648",
    "kind": "arxiv",
    "version": 1
  }
}