Pith Number

pith:EZGYQA6P

pith:2011:EZGYQA6PCZTEUGRRQPNDBQOWUN

not attested not anchored not stored refs pending

A closed algebra with a non-Borel clone and an ideal with a Borel clone

Martin Goldstern, Michael Pinsker, Saharon Shelah

arxiv:1112.0774 v1 · 2011-12-04 · math.RA · 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{EZGYQA6PCZTEUGRRQPNDBQOWUN}

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	2026-05-18T04:07:05.662355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

264d8803cf16664a1a3183da30c1d6a37a02a72461336826836bf1b6bb662d4c

Aliases

arxiv: 1112.0774 · arxiv_version: 1112.0774v1 · doi: 10.48550/arxiv.1112.0774 · pith_short_12: EZGYQA6PCZTE · pith_short_16: EZGYQA6PCZTEUGRR · pith_short_8: EZGYQA6P

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/EZGYQA6PCZTEUGRRQPNDBQOWUN \
  | 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: 264d8803cf16664a1a3183da30c1d6a37a02a72461336826836bf1b6bb662d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a80fb11e4e66050af3a04a807bedf4cdc5a69b01958a38dbb4afcb40932f7e7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-04T16:51:08Z",
    "title_canon_sha256": "07f7b37aa1500db66e40adfc97df60cfcac9f17654d971389eddad4ee5996191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0774",
    "kind": "arxiv",
    "version": 1
  }
}