Pith Number

pith:NHJQW5VX

pith:2009:NHJQW5VX7NYKRVMXS26VZJCI3Y

not attested not anchored not stored refs pending

F-coherent rings with applications to tight closure theory

Kazuma Shimomoto

arxiv:0908.0630 v1 · 2009-08-05 · 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{NHJQW5VX7NYKRVMXS26VZJCI3Y}

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	2026-05-18T02:41:09.379901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d30b76b7fb70a8d59796bd5ca448de0e9dc584942c6cc70f62667cec03a97a

Aliases

arxiv: 0908.0630 · arxiv_version: 0908.0630v1 · doi: 10.48550/arxiv.0908.0630 · pith_short_12: NHJQW5VX7NYK · pith_short_16: NHJQW5VX7NYKRVMX · pith_short_8: NHJQW5VX

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/NHJQW5VX7NYKRVMXS26VZJCI3Y \
  | 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: 69d30b76b7fb70a8d59796bd5ca448de0e9dc584942c6cc70f62667cec03a97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b67fe218d89c3a8cee55466c26263e0017fce780db9d9927ef0df00137abec",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-08-05T09:38:56Z",
    "title_canon_sha256": "3364dcc3066c7fc3d270381028128e17bdabb46ff85a803e0a80cb553733b155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0630",
    "kind": "arxiv",
    "version": 1
  }
}