Pith Number

pith:QXK2JEV6

pith:2010:QXK2JEV6QXVFAGV25ZR67GWKR7

not attested not anchored not stored refs pending

Noether normalizations, reductions of ideals, and matroids

Joseph P. Brennan, Neil Epstein

arxiv:1008.0156 v1 · 2010-08-01 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXK2JEV6QXVFAGV25ZR67GWKR7}

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	2026-05-18T04:18:46.220990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d5a492be85ea501abaee63ef9aca8fe9e152548fe7c73d4e7dae57fa85f248

Aliases

arxiv: 1008.0156 · arxiv_version: 1008.0156v1 · doi: 10.48550/arxiv.1008.0156 · pith_short_12: QXK2JEV6QXVF · pith_short_16: QXK2JEV6QXVFAGV2 · pith_short_8: QXK2JEV6

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/QXK2JEV6QXVFAGV25ZR67GWKR7 \
  | 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: 85d5a492be85ea501abaee63ef9aca8fe9e152548fe7c73d4e7dae57fa85f248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84c4b1715a591d72454229c1b20041d840c1c61a2ea39148b8cc09d64acf572",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-01T07:53:55Z",
    "title_canon_sha256": "d0cb95c65631e14277b64ebd7f54d2daf152be7bd75b275f8f43fae1cbdaba2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0156",
    "kind": "arxiv",
    "version": 1
  }
}