Pith Number

pith:WH42I5DB

pith:2016:WH42I5DBXMJ2YIL7L77PD5TWR3

not attested not anchored not stored refs pending

Computing $J$-ideals of a matrix over a principal ideal domain

Clemens Heuberger, Roswitha Rissner

arxiv:1611.10308 v2 · 2016-11-30 · 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{WH42I5DBXMJ2YIL7L77PD5TWR3}

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	2026-05-18T00:46:38.745633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f9a47461bb13ac217f5ffef1f6768ec05a18142d34e948f1437010dd2660de

Aliases

arxiv: 1611.10308 · arxiv_version: 1611.10308v2 · doi: 10.48550/arxiv.1611.10308 · pith_short_12: WH42I5DBXMJ2 · pith_short_16: WH42I5DBXMJ2YIL7 · pith_short_8: WH42I5DB

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/WH42I5DBXMJ2YIL7L77PD5TWR3 \
  | 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: b1f9a47461bb13ac217f5ffef1f6768ec05a18142d34e948f1437010dd2660de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5333102a8bfc42f07c0545156d5bd24e8d3f6015469b53b0bef43763c59403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-30T18:53:58Z",
    "title_canon_sha256": "059960e33907106d4fd4808c36ca19cb1d7496de1b07733772bb382826a9de8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10308",
    "kind": "arxiv",
    "version": 2
  }
}