Pith Number

pith:FS6MHFPG

pith:2017:FS6MHFPGBFS6TOY4UEJS7HT4NH

not attested not anchored not stored refs pending

Syzygies of the apolar ideals of the determinant and permanent

Jarod Alper, Rowan Rowlands

arxiv:1709.09286 v1 · 2017-09-26 · 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{FS6MHFPGBFS6TOY4UEJS7HT4NH}

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	2026-05-18T00:34:12.303301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbcc395e60965e9bb1ca1132f9e7c69df0552da66b6bcb0325399ed952d8011

Aliases

arxiv: 1709.09286 · arxiv_version: 1709.09286v1 · doi: 10.48550/arxiv.1709.09286 · pith_short_12: FS6MHFPGBFS6 · pith_short_16: FS6MHFPGBFS6TOY4 · pith_short_8: FS6MHFPG

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/FS6MHFPGBFS6TOY4UEJS7HT4NH \
  | 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: 2cbcc395e60965e9bb1ca1132f9e7c69df0552da66b6bcb0325399ed952d8011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03eb850d41b888cece771511a83d1a408631863a314ab2c0271c90532163c51",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-26T23:54:31Z",
    "title_canon_sha256": "dd9537bc626b3c47b8cd19b933eb14b5f9f8e9aeb43570da0dac375cb3ae9c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09286",
    "kind": "arxiv",
    "version": 1
  }
}