Pith Number

pith:RO6SBQ4U

pith:2014:RO6SBQ4UDXWTHCLNVU5UBFKY3O

not attested not anchored not stored refs pending

On modules of integral elements over finitely generated domains

Khoa D. Nguyen

arxiv:1412.2868 v3 · 2014-12-09 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO6SBQ4UDXWTHCLNVU5UBFKY3O}

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	2026-05-18T02:09:41.532332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bbd20c3941ded33896dad3b409558dba1f7dbb7830acecc3b7b88b03eafdf62

Aliases

arxiv: 1412.2868 · arxiv_version: 1412.2868v3 · doi: 10.48550/arxiv.1412.2868 · pith_short_12: RO6SBQ4UDXWT · pith_short_16: RO6SBQ4UDXWTHCLN · pith_short_8: RO6SBQ4U

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/RO6SBQ4UDXWTHCLNVU5UBFKY3O \
  | 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: 8bbd20c3941ded33896dad3b409558dba1f7dbb7830acecc3b7b88b03eafdf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7d4f6296cea078e550745111f2d3e922cb9fa3f123c1e2e0cec098e5a9cf51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-09T06:38:43Z",
    "title_canon_sha256": "6fc4becf6e4d00208edbe0d954631c5c7ac6376f5e5635633ac40d6a05440181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2868",
    "kind": "arxiv",
    "version": 3
  }
}