Pith Number

pith:JF2ZMVL2

pith:2017:JF2ZMVL2GB7XHAKYWWMLRS3Q6A

not attested not anchored not stored refs pending

An infinite cardinal-valued Krull dimension for rings

Greg Oman, K. Alan Loper, Zachary Mesyan

arxiv:1711.08554 v1 · 2017-11-23 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF2ZMVL2GB7XHAKYWWMLRS3Q6A}

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	2026-05-17T23:49:57.486676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497596557a307f738158b598b8cb70f00eb321459413687d728be14c7fe5844b

Aliases

arxiv: 1711.08554 · arxiv_version: 1711.08554v1 · doi: 10.48550/arxiv.1711.08554 · pith_short_12: JF2ZMVL2GB7X · pith_short_16: JF2ZMVL2GB7XHAKY · pith_short_8: JF2ZMVL2

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/JF2ZMVL2GB7XHAKYWWMLRS3Q6A \
  | 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: 497596557a307f738158b598b8cb70f00eb321459413687d728be14c7fe5844b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f6f6804456dac5441871c0821b8d4e5f406e629f754c110671b40932089ab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-11-23T02:06:11Z",
    "title_canon_sha256": "7778f6f12e9d8d131a88bef4d3c46300425927ff28f4e412e02591d9e380f8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08554",
    "kind": "arxiv",
    "version": 1
  }
}