Pith Number

pith:YX3SWTDJ

pith:2015:YX3SWTDJJZLNURYVNFO2MBKPUI

not attested not anchored not stored refs pending

Group-theoretic and topological invariants of completely integrally closed Pr\"ufer domains

Andreas Reinhart, Bruce Olberding, Olivier A. Heubo-Kwegna

arxiv:1512.03312 v2 · 2015-12-10 · 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{YX3SWTDJJZLNURYVNFO2MBKPUI}

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	2026-05-18T01:15:51.775926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f72b4c694e56da4715695da6054fa21048b857ed9375e017d924524c942af2

Aliases

arxiv: 1512.03312 · arxiv_version: 1512.03312v2 · doi: 10.48550/arxiv.1512.03312 · pith_short_12: YX3SWTDJJZLN · pith_short_16: YX3SWTDJJZLNURYV · pith_short_8: YX3SWTDJ

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/YX3SWTDJJZLNURYVNFO2MBKPUI \
  | 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: c5f72b4c694e56da4715695da6054fa21048b857ed9375e017d924524c942af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac72dc9a2c88dc032eb2c59fe36f6c18742fbee7680568e7b300c1f419bd0371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-10T16:34:03Z",
    "title_canon_sha256": "b0f25c106ec487bf89f24cd05d4ce0916113dd55aa0f6b48dfbbd47d3dc389bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03312",
    "kind": "arxiv",
    "version": 2
  }
}