Pith Number

pith:4J6G3WEN

pith:2016:4J6G3WENVDAU6NF53ISKQTG5HT

not attested not anchored not stored refs pending

Galois closure data for extensions of rings

Owen Biesel

arxiv:1601.07389 v1 · 2016-01-27 · math.AC · 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{4J6G3WENVDAU6NF53ISKQTG5HT}

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	2026-05-18T01:21:45.997382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27c6dd88da8c14f34bdda24a84cdd3ce8245797228e54a9b61e5c50097d435c

Aliases

arxiv: 1601.07389 · arxiv_version: 1601.07389v1 · doi: 10.48550/arxiv.1601.07389 · pith_short_12: 4J6G3WENVDAU · pith_short_16: 4J6G3WENVDAU6NF5 · pith_short_8: 4J6G3WEN

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/4J6G3WENVDAU6NF53ISKQTG5HT \
  | 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: e27c6dd88da8c14f34bdda24a84cdd3ce8245797228e54a9b61e5c50097d435c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd6d9c4e8d3319a05f51b4c5d9b48a4b9636d66b0cee1e6bb5faa9df4f17f4a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-27T14:32:45Z",
    "title_canon_sha256": "24a041ab7435095b0d710a45990526342204e4862db23f3368e27b45bd640643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07389",
    "kind": "arxiv",
    "version": 1
  }
}