Pith Number

pith:UPGV4KPP

pith:2018:UPGV4KPPW2M6S4BPKS5D3XLLQU

not attested not anchored not stored refs pending

Topological properties of localizations, flat overrings and sublocalizations

Dario Spirito

arxiv:1805.10901 v1 · 2018-05-28 · 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{UPGV4KPPW2M6S4BPKS5D3XLLQU}

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	2026-05-18T00:14:51.066964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cd5e29efb699e9702f54ba3ddd6b85263094797526def6c06ab7717c780f17

Aliases

arxiv: 1805.10901 · arxiv_version: 1805.10901v1 · doi: 10.48550/arxiv.1805.10901 · pith_short_12: UPGV4KPPW2M6 · pith_short_16: UPGV4KPPW2M6S4BP · pith_short_8: UPGV4KPP

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/UPGV4KPPW2M6S4BPKS5D3XLLQU \
  | 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: a3cd5e29efb699e9702f54ba3ddd6b85263094797526def6c06ab7717c780f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eff3455362cfe664cb8d09d00f4e3889754a6d394ad971c6487f44df640206f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-05-28T13:03:04Z",
    "title_canon_sha256": "e8e9b066592638c5adce7891a510bf6f270310e1644da6a164a1d49b4f8544ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10901",
    "kind": "arxiv",
    "version": 1
  }
}