Pith Number

pith:QSYR2C7W

pith:2016:QSYR2C7W2LWNMQSER56AMCLHWL

not attested not anchored not stored refs pending

On the straightening law for minors of a matrix

Richard G. Swan

arxiv:1605.06696 v1 · 2016-05-21 · 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{QSYR2C7W2LWNMQSER56AMCLHWL}

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	2026-05-18T01:14:11.485219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b11d0bf6d2ecd642448f7c060967b2e8588cc71d8fa09cbfd69004a4d1d085

Aliases

arxiv: 1605.06696 · arxiv_version: 1605.06696v1 · doi: 10.48550/arxiv.1605.06696 · pith_short_12: QSYR2C7W2LWN · pith_short_16: QSYR2C7W2LWNMQSE · pith_short_8: QSYR2C7W

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/QSYR2C7W2LWNMQSER56AMCLHWL \
  | 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: 84b11d0bf6d2ecd642448f7c060967b2e8588cc71d8fa09cbfd69004a4d1d085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f4ca3e71d07b83bdc6ec0ee877a59f8ed187a10a19a6c5676b129593b9135c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-05-21T20:13:45Z",
    "title_canon_sha256": "509011d67ccf42b40bbc850b418d79ceb2bf6966f84e1576099489b99bfff2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06696",
    "kind": "arxiv",
    "version": 1
  }
}