Pith Number

pith:J7WGSDJE

pith:2019:J7WGSDJE3E45HQDLFS74C64DOH

not attested not anchored not stored refs pending

Permanence properties of $F$-injectivity

Rankeya Datta, Takumi Murayama

arxiv:1906.11399 v4 · 2019-06-27 · 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{J7WGSDJE3E45HQDLFS74C64DOH}

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.

Cited by

1 paper in Pith

Pure subrings of Du Bois singularities are Du Bois singularities

Receipt and verification

First computed	2026-07-05T09:52:35.974601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fec690d24d939d3c06b2cbfc17b8371f872db6a045dd81414b73124271c7b01

Aliases

arxiv: 1906.11399 · arxiv_version: 1906.11399v4 · doi: 10.48550/arxiv.1906.11399 · pith_short_12: J7WGSDJE3E45 · pith_short_16: J7WGSDJE3E45HQDL · pith_short_8: J7WGSDJE

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/J7WGSDJE3E45HQDLFS74C64DOH \
  | 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: 4fec690d24d939d3c06b2cbfc17b8371f872db6a045dd81414b73124271c7b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52cd91bb4cc8120476d24d60adb345a8c12b86baa14e7d04fd2c2f4043c9373",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-27T00:24:54Z",
    "title_canon_sha256": "dbb6e9ff0999c09d03e1cded4f0504bd2223f1419117d37f12d6aabb6512ad9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11399",
    "kind": "arxiv",
    "version": 4
  }
}