Pith Number

pith:UXS4YHUP

pith:2021:UXS4YHUPZYCWYJV36GRTIRIJQR

not attested not anchored not stored refs pending

A formalization of Dedekind domains and class groups of global fields

Anne Baanen, Ashvni Narayanan, Filippo A. E. Nuccio, Sander R. Dahmen

arxiv:2102.02600 v4 · 2021-02-04 · cs.LO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXS4YHUPZYCWYJV36GRTIRIJQR}

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	2026-07-05T04:52:23.527774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e5cc1e8fce056c26bbf1a3344509844c540407452aaf6f2064bee824425f29

Aliases

arxiv: 2102.02600 · arxiv_version: 2102.02600v4 · doi: 10.48550/arxiv.2102.02600 · pith_short_12: UXS4YHUPZYCW · pith_short_16: UXS4YHUPZYCWYJV3 · pith_short_8: UXS4YHUP

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/UXS4YHUPZYCWYJV36GRTIRIJQR \
  | 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: a5e5cc1e8fce056c26bbf1a3344509844c540407452aaf6f2064bee824425f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15f220161aabd28a36b65d0e69906920fbdf22d0cbe85efdbb3561cc5cef681",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2021-02-04T13:29:33Z",
    "title_canon_sha256": "f3c1dd80307788ea0f98ea2f2c265625f0ab941be979c70147d0f2e7fab1e6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02600",
    "kind": "arxiv",
    "version": 4
  }
}