Pith Number

pith:77B4EBDE

pith:2002:77B4EBDEKJB77XIDJBJNG2FRBX

not attested not anchored not stored refs pending

Pcf theory and Woodin cardinals

Moti Gitik, Ralf Schindler, Saharon Shelah

arxiv:math/0211433 v1 · 2002-11-27 · 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{77B4EBDEKJB77XIDJBJNG2FRBX}

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	2026-05-18T02:38:00.514838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc3c204645243ffdd034852d368b10dcabef870082f83479d789296b490f502

Aliases

arxiv: math/0211433 · arxiv_version: math/0211433v1 · doi: 10.48550/arxiv.math/0211433 · pith_short_12: 77B4EBDEKJB7 · pith_short_16: 77B4EBDEKJB77XID · pith_short_8: 77B4EBDE

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/77B4EBDEKJB77XIDJBJNG2FRBX \
  | 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: ffc3c204645243ffdd034852d368b10dcabef870082f83479d789296b490f502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4ca5d700400ec1c81a43e2493da10a743e364eb39b95a2aa57bec9329f8296",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2002-11-27T22:49:34Z",
    "title_canon_sha256": "0199f6792cd9eff058a7f83ca2f1deddcea00497a46165d2d7ab97a5cfc4b89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211433",
    "kind": "arxiv",
    "version": 1
  }
}