Pith Number

pith:G3LZ7SYX

pith:2016:G3LZ7SYXDFMZ4NFZ2K64HVXS73

not attested not anchored not stored refs pending

The set of distances in seminormal weakly Krull monoids

Alfred Geroldinger, Qinghai Zhong

arxiv:1604.07986 v1 · 2016-04-27 · 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{G3LZ7SYXDFMZ4NFZ2K64HVXS73}

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	2026-05-18T01:16:08.476131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d79fcb1719599e34b9d2bdc3d6f2feedca773c0438be348442bc0d00bf22ac

Aliases

arxiv: 1604.07986 · arxiv_version: 1604.07986v1 · doi: 10.48550/arxiv.1604.07986 · pith_short_12: G3LZ7SYXDFMZ · pith_short_16: G3LZ7SYXDFMZ4NFZ · pith_short_8: G3LZ7SYX

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/G3LZ7SYXDFMZ4NFZ2K64HVXS73 \
  | 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: 36d79fcb1719599e34b9d2bdc3d6f2feedca773c0438be348442bc0d00bf22ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dd9b86f810bf9d65f67b0d282a45d8172b1695213e5dc2d394deca9b85b794",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-27T09:16:10Z",
    "title_canon_sha256": "8c6ca2654c5519b87408f1008cdc0f5852c398c6d9068aef97e80eecec2dca77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07986",
    "kind": "arxiv",
    "version": 1
  }
}