Pith Number

pith:V7QBDPL6

pith:2017:V7QBDPL6IWGS4G5PYYTOVWS3CX

not attested not anchored not stored refs pending

Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers

Karl Schwede, Linquan Ma

arxiv:1705.02300 v2 · 2017-05-05 · 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{V7QBDPL6IWGS4G5PYYTOVWS3CX}

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	2026-05-17T23:42:43.667993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe011bd7e458d2e1bafc626eada5b15c62da327f76ef07da72b429293fb4add

Aliases

arxiv: 1705.02300 · arxiv_version: 1705.02300v2 · doi: 10.48550/arxiv.1705.02300 · pith_short_12: V7QBDPL6IWGS · pith_short_16: V7QBDPL6IWGS4G5P · pith_short_8: V7QBDPL6

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/V7QBDPL6IWGS4G5PYYTOVWS3CX \
  | 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: afe011bd7e458d2e1bafc626eada5b15c62da327f76ef07da72b429293fb4add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720b36e44fb79112251f7255cf57992046d3d0d659650f936087b45f2c21cb25",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-05T17:03:34Z",
    "title_canon_sha256": "b5dd9480f19d74240cf0854a824781d43122535462b3b23938507c1cdb753ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02300",
    "kind": "arxiv",
    "version": 2
  }
}