Pith Number

pith:BOBQYG6J

pith:2017:BOBQYG6J23ACYKPUM5JD2PU3P5

not attested not anchored not stored refs pending

Tight closure of parameter ideals in local rings $F$-rational on the punctured spectrum

Pham Hung Quy

arxiv:1704.00500 v3 · 2017-04-03 · 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{BOBQYG6J23ACYKPUM5JD2PU3P5}

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	2026-05-18T00:44:43.986649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b830c1bc9d6c02c29f467523d3e9b7f72912bb7f9f0954ec16e93ed6e5b2cde

Aliases

arxiv: 1704.00500 · arxiv_version: 1704.00500v3 · doi: 10.48550/arxiv.1704.00500 · pith_short_12: BOBQYG6J23AC · pith_short_16: BOBQYG6J23ACYKPU · pith_short_8: BOBQYG6J

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/BOBQYG6J23ACYKPUM5JD2PU3P5 \
  | 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: 0b830c1bc9d6c02c29f467523d3e9b7f72912bb7f9f0954ec16e93ed6e5b2cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f82c7ff4c7263475e8e0bc8af8f63426194a5be003c59760ca522c2a1dcb10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-04-03T09:44:27Z",
    "title_canon_sha256": "1ac343ae9f0c8217cddad86767968a602fa86eead0018a3f9a2ab57a8453c3de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00500",
    "kind": "arxiv",
    "version": 3
  }
}