Pith Number

pith:SHYNYCDN

pith:2007:SHYNYCDN6FGO4S2I24ZFNTJ7TT

not attested not anchored not stored refs pending

Real Closed Rings and Real Closed * Rings

Jose Capco

arxiv:0707.2189 v2 · 2007-07-15 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHYNYCDN6FGO4S2I24ZFNTJ7TT}

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	2026-05-18T01:05:14.127687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f0dc086df14cee4b48d73256cd3f9ce3cdf68baed8413927095b913597d7be

Aliases

arxiv: 0707.2189 · arxiv_version: 0707.2189v2 · doi: 10.48550/arxiv.0707.2189 · pith_short_12: SHYNYCDN6FGO · pith_short_16: SHYNYCDN6FGO4S2I · pith_short_8: SHYNYCDN

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/SHYNYCDN6FGO4S2I24ZFNTJ7TT \
  | 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: 91f0dc086df14cee4b48d73256cd3f9ce3cdf68baed8413927095b913597d7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56340819f56616ca0330e5a90bccd9ff7bad7b5d0768876f99ea79ac26a405f8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-07-15T08:46:13Z",
    "title_canon_sha256": "79e75f26bbe39a13c04c5ade543975e27690e777556fd6ff679860db18f88f09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2189",
    "kind": "arxiv",
    "version": 2
  }
}