Pith Number

pith:PQDNTJGY

pith:2017:PQDNTJGYD722BROWYEEGJCMLVZ

not attested not anchored not stored refs pending

When is a polynomial ideal binomial after an ambient automorphism?

Ezra Miller, Lukas Katth\"an, Mateusz Micha{\l}ek

arxiv:1706.03629 v1 · 2017-06-12 · math.AC · cs.SC · 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{PQDNTJGYD722BROWYEEGJCMLVZ}

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	2026-05-18T00:42:34.105141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c06d9a4d81ff5a0c5d6c10864898bae7c096922b5c5f12f3e261df2a80fcd2f

Aliases

arxiv: 1706.03629 · arxiv_version: 1706.03629v1 · doi: 10.48550/arxiv.1706.03629 · pith_short_12: PQDNTJGYD722 · pith_short_16: PQDNTJGYD722BROW · pith_short_8: PQDNTJGY

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/PQDNTJGYD722BROWYEEGJCMLVZ \
  | 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: 7c06d9a4d81ff5a0c5d6c10864898bae7c096922b5c5f12f3e261df2a80fcd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ac4ce03f6195047fe249ecce9e34085f457b929e797684a17a24618f86822d8",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-12T13:39:19Z",
    "title_canon_sha256": "a0e802107bbe1c2efb26ab00c225522616f036af86d7ad94e26b8976b0dbea6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03629",
    "kind": "arxiv",
    "version": 1
  }
}