Pith Number

pith:YKOX3Z7O

pith:2007:YKOX3Z7ODSI6MO6VREVXSYH3SP

not attested not anchored not stored refs pending

Uniqueness of real closure * of Baer regular rings

Jose Capco

arxiv:0710.0267 v2 · 2007-10-01 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKOX3Z7ODSI6MO6VREVXSYH3SP}

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	2026-05-18T02:24:57.863792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29d7de7ee1c91e63bd5892b7960fb93daa44d2e6dee98331a6afc2dbab70173

Aliases

arxiv: 0710.0267 · arxiv_version: 0710.0267v2 · doi: 10.48550/arxiv.0710.0267 · pith_short_12: YKOX3Z7ODSI6 · pith_short_16: YKOX3Z7ODSI6MO6V · pith_short_8: YKOX3Z7O

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/YKOX3Z7ODSI6MO6VREVXSYH3SP \
  | 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: c29d7de7ee1c91e63bd5892b7960fb93daa44d2e6dee98331a6afc2dbab70173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87242f1c049a8e0d6838f814f84dbd4581a299d757643a64085e2e03cae2c50a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-10-01T11:39:45Z",
    "title_canon_sha256": "7005e6d7c4f266c1242f73822d1d051e40bf80dda1886ab3a7fd12e37ae6001c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0267",
    "kind": "arxiv",
    "version": 2
  }
}