Pith Number

pith:OHWW7JGL

pith:2018:OHWW7JGLYTCWPPCH7PINPLIRMP

not attested not anchored not stored refs pending

A New Subadditivity Formula for Test Ideals

Daniel Smolkin

arxiv:1805.08739 v3 · 2018-05-22 · 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{OHWW7JGLYTCWPPCH7PINPLIRMP}

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	2026-05-17T23:54:48.412715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71ed6fa4cbc4c567bc47fbd0d7ad1163fa67cdbf4688a5cb9798614d202d3f4e

Aliases

arxiv: 1805.08739 · arxiv_version: 1805.08739v3 · doi: 10.48550/arxiv.1805.08739 · pith_short_12: OHWW7JGLYTCW · pith_short_16: OHWW7JGLYTCWPPCH · pith_short_8: OHWW7JGL

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/OHWW7JGLYTCWPPCH7PINPLIRMP \
  | 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: 71ed6fa4cbc4c567bc47fbd0d7ad1163fa67cdbf4688a5cb9798614d202d3f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d1b7c3a7adca7744c017d14b61ccda7c003237e84c52d69d46413ea713de30",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-05-22T16:59:55Z",
    "title_canon_sha256": "cff396ace81b1eb6cf62f8349a993c08c23b7d9da3e5329415f1a43a0206beb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08739",
    "kind": "arxiv",
    "version": 3
  }
}