Pith Number

pith:MW2QINHZ

pith:2004:MW2QINHZLV3PAXRHA7BSBABMKY

not attested not anchored not stored refs pending

A pure subalgebra of a finitely generated algebra is finitely generated

Mitsuyasu Hashimoto

arxiv:math/0406286 v1 · 2004-06-15 · 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{MW2QINHZLV3PAXRHA7BSBABMKY}

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	2026-05-18T04:34:28.234834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b50434f95d76f05e2707c320802c5608f7935d3a04576e91f2fa6dddfbcd68

Aliases

arxiv: math/0406286 · arxiv_version: math/0406286v1 · doi: 10.48550/arxiv.math/0406286 · pith_short_12: MW2QINHZLV3P · pith_short_16: MW2QINHZLV3PAXRH · pith_short_8: MW2QINHZ

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/MW2QINHZLV3PAXRHA7BSBABMKY \
  | 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: 65b50434f95d76f05e2707c320802c5608f7935d3a04576e91f2fa6dddfbcd68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf6f195e33bbeb5a722cab44a0f394c18160b4284831f98b89a96d3fa8f9727",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-06-15T06:07:20Z",
    "title_canon_sha256": "91747c652b0b8e996806c524ac86bb5cfe1f06cf3ac942fc71fcb21642d9e972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406286",
    "kind": "arxiv",
    "version": 1
  }
}