Pith Number

pith:DT4ZNO3H

pith:2012:DT4ZNO3H4ZMN6ESTU2G5OY3F5C

not attested not anchored not stored refs pending

Easton's Theorem for Ramsey and Strongly Ramsey cardinals

Brent Cody, Victoria Gitman

arxiv:1209.1133 v1 · 2012-09-05 · 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{DT4ZNO3H4ZMN6ESTU2G5OY3F5C}

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	2026-05-18T03:46:06.449088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cf996bb67e658df1253a68dd76365e880dbdee9c9f1deaf61880cb30e48b1b9

Aliases

arxiv: 1209.1133 · arxiv_version: 1209.1133v1 · doi: 10.48550/arxiv.1209.1133 · pith_short_12: DT4ZNO3H4ZMN · pith_short_16: DT4ZNO3H4ZMN6EST · pith_short_8: DT4ZNO3H

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/DT4ZNO3H4ZMN6ESTU2G5OY3F5C \
  | 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: 1cf996bb67e658df1253a68dd76365e880dbdee9c9f1deaf61880cb30e48b1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea96fe50227d27ce16e06208b1718bd0744c21ff01d04915c9bf1d479f27216e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-05T22:23:56Z",
    "title_canon_sha256": "3cae72c97ab8ab72b853b369a15f1f27df2f32682f3efef23eee5c752193525d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1133",
    "kind": "arxiv",
    "version": 1
  }
}