Pith Number

pith:WNNR22K3

pith:2019:WNNR22K3TXVVMCXMUFAJMHQEMR

not attested not anchored not stored refs pending

Maximal Chains of Prime Ideals of Different Lengths in Unique Factorization Domains

Alex Semendinger, S. Loepp

arxiv:1901.02790 v1 · 2019-01-09 · 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{WNNR22K3TXVVMCXMUFAJMHQEMR}

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	2026-05-17T23:56:39.434875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35b1d695b9deb560aeca140961e04646c46e38ddb29c355be3e78cf11ddb6bd

Aliases

arxiv: 1901.02790 · arxiv_version: 1901.02790v1 · doi: 10.48550/arxiv.1901.02790 · pith_short_12: WNNR22K3TXVV · pith_short_16: WNNR22K3TXVVMCXM · pith_short_8: WNNR22K3

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/WNNR22K3TXVVMCXMUFAJMHQEMR \
  | 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: b35b1d695b9deb560aeca140961e04646c46e38ddb29c355be3e78cf11ddb6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58841f1551372648f3ac45123577ac1d7de40c2c5a4cdf3e3c0211cdc7fb4c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-09T15:58:43Z",
    "title_canon_sha256": "898deb4298e2f0e5aff970f3faaf4a05eaff1bb51e58c720ed1f091578e712a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02790",
    "kind": "arxiv",
    "version": 1
  }
}