Pith Number

pith:7ID5PUML

pith:2011:7ID5PUML27HXIQMKXDBG7LVT4B

not attested not anchored not stored refs pending

Big tight closure test elements for some non-reduced excellent rings

Rodney Y. Sharp

arxiv:1108.1660 v1 · 2011-08-08 · 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{7ID5PUML27HXIQMKXDBG7LVT4B}

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	2026-05-18T04:16:00.410209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa07d7d18bd7cf74418ab8c26faeb3e0449324313a68add3dde6c216c94fde53

Aliases

arxiv: 1108.1660 · arxiv_version: 1108.1660v1 · doi: 10.48550/arxiv.1108.1660 · pith_short_12: 7ID5PUML27HX · pith_short_16: 7ID5PUML27HXIQMK · pith_short_8: 7ID5PUML

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/7ID5PUML27HXIQMKXDBG7LVT4B \
  | 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: fa07d7d18bd7cf74418ab8c26faeb3e0449324313a68add3dde6c216c94fde53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61af33b3e1d8b2830b0200eec91d749e0177e85586d95600b0b4ba976b23e6d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-08T09:52:32Z",
    "title_canon_sha256": "ee2d9e3add1f2bcf15a52cb26ec891e9398764daef13f98df193f92d311d1436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1660",
    "kind": "arxiv",
    "version": 1
  }
}