Pith Number

pith:TVI6WUOV

pith:2017:TVI6WUOVRWFRCZ2JTRG3AIDOMF

not attested not anchored not stored refs pending

The sets of star and semistar operations on semilocal Pr\"ufer domains

Dario Spirito

arxiv:1707.07507 v1 · 2017-07-24 · 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{TVI6WUOVRWFRCZ2JTRG3AIDOMF}

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	2026-05-18T00:39:42.010788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d51eb51d58d8b1167499c4db0206e6173f0cba0b6386070e581cb017a2cc70c

Aliases

arxiv: 1707.07507 · arxiv_version: 1707.07507v1 · doi: 10.48550/arxiv.1707.07507 · pith_short_12: TVI6WUOVRWFR · pith_short_16: TVI6WUOVRWFRCZ2J · pith_short_8: TVI6WUOV

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/TVI6WUOVRWFRCZ2JTRG3AIDOMF \
  | 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: 9d51eb51d58d8b1167499c4db0206e6173f0cba0b6386070e581cb017a2cc70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3865b284e42d7168082960964cf9d7cc1d25d16bfbb135bee7d2cd28be7fb847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-24T12:12:05Z",
    "title_canon_sha256": "a25cb513889243f1b8629a69fa832c9d397c4712636d4d8fea21d67228545c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07507",
    "kind": "arxiv",
    "version": 1
  }
}