Pith Number

pith:OP6QTUTK

pith:2006:OP6QTUTKJELAOQVU4UJA6OGO4M

not attested not anchored not stored refs pending

Divisors over determinantal rings defined by two by two minors

Andrew R. Kustin

arxiv:math/0608345 v1 · 2006-08-14 · 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{OP6QTUTKJELAOQVU4UJA6OGO4M}

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	2026-05-18T01:05:22.594542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fd09d26a49160742b4e5120f38cee301277ae4ab66cbbc3d5a066dd8d3c246

Aliases

arxiv: math/0608345 · arxiv_version: math/0608345v1 · doi: 10.48550/arxiv.math/0608345 · pith_short_12: OP6QTUTKJELA · pith_short_16: OP6QTUTKJELAOQVU · pith_short_8: OP6QTUTK

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/OP6QTUTKJELAOQVU4UJA6OGO4M \
  | 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: 73fd09d26a49160742b4e5120f38cee301277ae4ab66cbbc3d5a066dd8d3c246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fce330c290032343b4f6521467380307a3ce6e46d80534abb5ca82e9c8e93f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-08-14T14:10:51Z",
    "title_canon_sha256": "89529f66900eb9963349ff6d875ed2ba91238b2878cfd4f37d7d8a8433f0d965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608345",
    "kind": "arxiv",
    "version": 1
  }
}