Pith Number

pith:A7L2VRW5

pith:2018:A7L2VRW5SJOZA7MN7RPWDXMWSH

not attested not anchored not stored refs pending

Defining Subrings in Finitely Generated Fields of All Characteristics

Philip Dittmann

arxiv:1810.09333 v2 · 2018-10-22 · math.LO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7L2VRW5SJOZA7MN7RPWDXMWSH}

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	2026-05-17T23:49:03.182486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d7aac6dd925d907d8dfc5f61dd9691e7349711e474dddd182086d14aafce2e

Aliases

arxiv: 1810.09333 · arxiv_version: 1810.09333v2 · doi: 10.48550/arxiv.1810.09333 · pith_short_12: A7L2VRW5SJOZ · pith_short_16: A7L2VRW5SJOZA7MN · pith_short_8: A7L2VRW5

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/A7L2VRW5SJOZA7MN7RPWDXMWSH \
  | 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: 07d7aac6dd925d907d8dfc5f61dd9691e7349711e474dddd182086d14aafce2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d68aac2d3fc92c9be807f308bc3cfd3e71714965a5f23e4d5a24c129811b689",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-10-22T14:53:41Z",
    "title_canon_sha256": "71468b34b388c0d4d910d9bc39550f03a6f4fcfdcf922868f5d06eb0ab09a5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09333",
    "kind": "arxiv",
    "version": 2
  }
}