Pith Number

pith:23LARQD5

pith:2017:23LARQD54FZ7CZMHRYUBH4JSSX

not attested not anchored not stored refs pending

An equivariant Hilbert basis theorem

Andrew Snowden, Daniel Erman, Steven V Sam

arxiv:1712.07532 v2 · 2017-12-20 · math.AG · 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{23LARQD54FZ7CZMHRYUBH4JSSX}

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	2026-07-05T00:54:00.182925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d608c07de173f165878e2813f13295fb106c8e25241e819ebb287be035aa98

Aliases

arxiv: 1712.07532 · arxiv_version: 1712.07532v2 · doi: 10.48550/arxiv.1712.07532 · pith_short_12: 23LARQD54FZ7 · pith_short_16: 23LARQD54FZ7CZMH · pith_short_8: 23LARQD5

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/23LARQD54FZ7CZMHRYUBH4JSSX \
  | 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: d6d608c07de173f165878e2813f13295fb106c8e25241e819ebb287be035aa98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e208ba354c192792d976b37e2ce58187ff5267b7c377eb35d21c2e5c91671b0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-20T15:42:47Z",
    "title_canon_sha256": "28cc20d82a785313eef45bcf2cfcfb68c7dad4285897482c9f1eac000feff599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07532",
    "kind": "arxiv",
    "version": 2
  }
}