Pith Number

pith:WI5IKC64

pith:2013:WI5IKC64D4BPI7TZHOPPGRSGZ3

not attested not anchored not stored refs pending

Local and global tameness in Krull monoids

Alfred Geroldinger (IM), W. D. Gao, Wolfgang Schmid (LAGA)

arxiv:1302.3078 v2 · 2013-02-13 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI5IKC64D4BPI7TZHOPPGRSGZ3}

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	2026-05-18T03:20:35.175114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23a850bdc1f02f47e793b9ef34646cecfafa38c48c3d6a6d4800b98e982c889

Aliases

arxiv: 1302.3078 · arxiv_version: 1302.3078v2 · doi: 10.48550/arxiv.1302.3078 · pith_short_12: WI5IKC64D4BP · pith_short_16: WI5IKC64D4BPI7TZ · pith_short_8: WI5IKC64

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/WI5IKC64D4BPI7TZHOPPGRSGZ3 \
  | 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: b23a850bdc1f02f47e793b9ef34646cecfafa38c48c3d6a6d4800b98e982c889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4c1ae30f573fbfc53436dc5728f2a04816948d7c588f4d86ef84d61b41bb0c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-13T13:26:54Z",
    "title_canon_sha256": "0a1b94ba3b635c9301f8a89fa45b4b224311c5e79038dca297e144af900bc7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3078",
    "kind": "arxiv",
    "version": 2
  }
}