Pith Number

pith:XULAWXO2

pith:2018:XULAWXO2M4EAP4KXSNAPVZPH4H

not attested not anchored not stored refs pending

Sets of Arithmetical Invariants in Transfer Krull Monoids

Alfred Geroldinger, Qinghai Zhong

arxiv:1805.02911 v1 · 2018-05-08 · math.AC · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XULAWXO2M4EAP4KXSNAPVZPH4H}

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	2026-05-17T23:55:07.763552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd160b5dda670807f1579340fae5e7e1cb3a8601cc5528c60171682e0303c99a

Aliases

arxiv: 1805.02911 · arxiv_version: 1805.02911v1 · doi: 10.48550/arxiv.1805.02911 · pith_short_12: XULAWXO2M4EA · pith_short_16: XULAWXO2M4EAP4KX · pith_short_8: XULAWXO2

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/XULAWXO2M4EAP4KXSNAPVZPH4H \
  | 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: bd160b5dda670807f1579340fae5e7e1cb3a8601cc5528c60171682e0303c99a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab623ab2d9f1c4d170961992f970384d0ba8da71db26de8f02dff1ca2430139",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-05-08T09:18:53Z",
    "title_canon_sha256": "e564dcd5a4b6c4b9eeb52b333247fde30f17bd779739c5cde17dede20945182d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02911",
    "kind": "arxiv",
    "version": 1
  }
}