Pith Number

pith:4J4PU7HG

pith:2018:4J4PU7HGIDNSPQZUU2TMCA7CTK

not attested not anchored not stored refs pending

Semidualizing modules of $2 \times 2$ ladder determinantal rings

Sandra Spiroff, Sean K. Sather-Wagstaff, Tony Se

arxiv:1811.01038 v1 · 2018-11-02 · 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{4J4PU7HGIDNSPQZUU2TMCA7CTK}

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	2026-05-18T00:01:37.221419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e278fa7ce640db27c334a6a6c103e29a9f980c3999bd35bd068469e1d7d10b1a

Aliases

arxiv: 1811.01038 · arxiv_version: 1811.01038v1 · doi: 10.48550/arxiv.1811.01038 · pith_short_12: 4J4PU7HGIDNS · pith_short_16: 4J4PU7HGIDNSPQZU · pith_short_8: 4J4PU7HG

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/4J4PU7HGIDNSPQZUU2TMCA7CTK \
  | 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: e278fa7ce640db27c334a6a6c103e29a9f980c3999bd35bd068469e1d7d10b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38918bd6180a886e5067e484a0381380a4fa25da825303f729cc55ff947df473",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-02T18:43:48Z",
    "title_canon_sha256": "75f3f746696685f55d77f261efeb719181e264e45002544a0cf628f5bf02f438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01038",
    "kind": "arxiv",
    "version": 1
  }
}