Pith Number

pith:SSFCDGBF

pith:2013:SSFCDGBFO5V7A4E4WL3B7QPWMD

not attested not anchored not stored refs pending

Prescribed subintegral extensions of local Noetherian domains

Bruce Olberding

arxiv:1306.0870 v1 · 2013-06-04 · 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{SSFCDGBFO5V7A4E4WL3B7QPWMD}

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	2026-05-18T03:21:46.144618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948a219825776bf0709cb2f61fc1f660c8144280658d0d085532b5ac257e013a

Aliases

arxiv: 1306.0870 · arxiv_version: 1306.0870v1 · doi: 10.48550/arxiv.1306.0870 · pith_short_12: SSFCDGBFO5V7 · pith_short_16: SSFCDGBFO5V7A4E4 · pith_short_8: SSFCDGBF

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/SSFCDGBFO5V7A4E4WL3B7QPWMD \
  | 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: 948a219825776bf0709cb2f61fc1f660c8144280658d0d085532b5ac257e013a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3bb4bff325f764fc284a6af856087a3c31457dcc228d6f7cea7df98318f204c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-04T18:29:28Z",
    "title_canon_sha256": "287fc3de30df4a9de4fc4bf9ed4a73da5f82b81e8f28bbfdd002acd63fc4be9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0870",
    "kind": "arxiv",
    "version": 1
  }
}