Pith Number

pith:XDMK2CX6

pith:2016:XDMK2CX6GQTKFWG2TV3U3TMJ43

not attested not anchored not stored refs pending

Trace Ideals and Centers of Endomorphism Rings of Modules over Commutative Rings

Haydee Lindo

arxiv:1603.08576 v2 · 2016-03-28 · 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{XDMK2CX6GQTKFWG2TV3U3TMJ43}

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	2026-05-18T01:00:53.207656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d8ad0afe3426a2d8da9d774dcd89e6d542c54ec3249df4ff8920486495f601

Aliases

arxiv: 1603.08576 · arxiv_version: 1603.08576v2 · doi: 10.48550/arxiv.1603.08576 · pith_short_12: XDMK2CX6GQTK · pith_short_16: XDMK2CX6GQTKFWG2 · pith_short_8: XDMK2CX6

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/XDMK2CX6GQTKFWG2TV3U3TMJ43 \
  | 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: b8d8ad0afe3426a2d8da9d774dcd89e6d542c54ec3249df4ff8920486495f601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3488285f410bc9ec038a5e7e33d79d1691aaa81fd8929a68381d8e9353e86abd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-03-28T22:05:30Z",
    "title_canon_sha256": "5cb17a03ae8eee5b5ceabbaf112368773226c0cfb4c6123263930dced5d892e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08576",
    "kind": "arxiv",
    "version": 2
  }
}