Pith Number

pith:KSBAY2I7

pith:2017:KSBAY2I7MJP4NEBYSFS2AZ24KZ

not attested not anchored not stored refs pending

Symbolic powers of ideals defining F-pure and strongly F-regular rings

Craig Huneke, Elo\'isa Grifo

arxiv:1702.06876 v2 · 2017-02-22 · 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{KSBAY2I7MJP4NEBYSFS2AZ24KZ}

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	2026-05-18T00:37:52.618265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54820c691f625fc690389165a0675c56642c4e1839ffb3c4c770c370475084b9

Aliases

arxiv: 1702.06876 · arxiv_version: 1702.06876v2 · doi: 10.48550/arxiv.1702.06876 · pith_short_12: KSBAY2I7MJP4 · pith_short_16: KSBAY2I7MJP4NEBY · pith_short_8: KSBAY2I7

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/KSBAY2I7MJP4NEBYSFS2AZ24KZ \
  | 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: 54820c691f625fc690389165a0675c56642c4e1839ffb3c4c770c370475084b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27116cd6c3e2a77a549829214acd2ed58ec60224b6e657074c3755541d2a67d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-22T16:14:43Z",
    "title_canon_sha256": "6ba18f6824af598e0e64ca8fae7f33c4d6d96beb215bce0295087200d0809f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06876",
    "kind": "arxiv",
    "version": 2
  }
}