Pith Number

pith:WEOTODM2

pith:2018:WEOTODM2RS2S445YJLHQVFHMQ3

not attested not anchored not stored refs pending

Explicit example of collapsing kappa^+ in iteration of kappa-proper forcings

Andrzej Roslanowski

arxiv:1808.01636 v1 · 2018-08-05 · 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{WEOTODM2RS2S445YJLHQVFHMQ3}

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	2026-05-18T00:08:52.331769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11d370d9a8cb52e73b84acf0a94ec86ea7489f185ae9dac8961c3d7986cb2cd

Aliases

arxiv: 1808.01636 · arxiv_version: 1808.01636v1 · doi: 10.48550/arxiv.1808.01636 · pith_short_12: WEOTODM2RS2S · pith_short_16: WEOTODM2RS2S445Y · pith_short_8: WEOTODM2

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/WEOTODM2RS2S445YJLHQVFHMQ3 \
  | 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: b11d370d9a8cb52e73b84acf0a94ec86ea7489f185ae9dac8961c3d7986cb2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca2f6ad70264ae369195ac5511d810d902cc1dbd715bec5d3bce2756d1991e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-05T15:37:30Z",
    "title_canon_sha256": "3e3f811a6339c3cc4413f48453604240cd4a370ccf0cdb6941c2c8ff8468738b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01636",
    "kind": "arxiv",
    "version": 1
  }
}