Pith Number

pith:QUEEYNCA

pith:1997:QUEEYNCAYG3P4HN6ZIFATUTAJE

not attested not anchored not stored refs pending

The covering lemma up to a Woodin cardinal

Ernest Schimmerling, John R. Steel, William J. Mitchell

arxiv:math/9702207 v1 · 1997-02-18 · 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{QUEEYNCAYG3P4HN6ZIFATUTAJE}

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	2026-05-18T01:05:37.194162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85084c3440c1b6fe1dbeca0a09d26049026a92082cdf8067381fd8d3c9f6549e

Aliases

arxiv: math/9702207 · arxiv_version: math/9702207v1 · doi: 10.48550/arxiv.math/9702207 · pith_short_12: QUEEYNCAYG3P · pith_short_16: QUEEYNCAYG3P4HN6 · pith_short_8: QUEEYNCA

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/QUEEYNCAYG3P4HN6ZIFATUTAJE \
  | 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: 85084c3440c1b6fe1dbeca0a09d26049026a92082cdf8067381fd8d3c9f6549e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b9236c7905d62736bfe0951a02e04ac6c6740e418f9bdc70854f585a1eeaa2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-02-18T00:00:00Z",
    "title_canon_sha256": "9c5de3047da743593af8730c92e6e78a14baba0b0104acf63fd4411c2557f272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9702207",
    "kind": "arxiv",
    "version": 1
  }
}