Pith Number

pith:Q32KTTSF

pith:2012:Q32KTTSFFGWTMKKFKB22LTM4GD

not attested not anchored not stored refs pending

Easton's Theorem in the presence of Woodin cardinals

Brent Cody

arxiv:1207.5822 v2 · 2012-07-24 · 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{Q32KTTSFFGWTMKKFKB22LTM4GD}

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	2026-05-18T03:49:57.659312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f4a9ce4529ad3629455075a5cd9c30ecd6dfa9cfeaa009c40e49195a6f4413

Aliases

arxiv: 1207.5822 · arxiv_version: 1207.5822v2 · doi: 10.48550/arxiv.1207.5822 · pith_short_12: Q32KTTSFFGWT · pith_short_16: Q32KTTSFFGWTMKKF · pith_short_8: Q32KTTSF

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/Q32KTTSFFGWTMKKFKB22LTM4GD \
  | 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: 86f4a9ce4529ad3629455075a5cd9c30ecd6dfa9cfeaa009c40e49195a6f4413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56849e7517c019f3d634ef42a0a1a0e87223762be8f27e0f4496442133ff9c3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-24T20:52:41Z",
    "title_canon_sha256": "685a56d9795073e4a638de0b64e97409bfb77f28b05fd9cc86092904d3699b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5822",
    "kind": "arxiv",
    "version": 2
  }
}