Pith Number

pith:BUC5SQG3

pith:2019:BUC5SQG3KQELE7SKU6MCT4326W

not attested not anchored not stored refs pending

On Euler systems for the multiplicative group over general number fields

Alexandre Daoud, David Burns, Soogil Seo, Takamichi Sano

arxiv:1906.01565 v1 · 2019-06-04 · 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{BUC5SQG3KQELE7SKU6MCT4326W}

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	2026-05-17T23:44:16.140111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d05d940db5408b27e4aa79829f37af5bbafcbc3372936da1508b4e62177df64

Aliases

arxiv: 1906.01565 · arxiv_version: 1906.01565v1 · doi: 10.48550/arxiv.1906.01565 · pith_short_12: BUC5SQG3KQEL · pith_short_16: BUC5SQG3KQELE7SK · pith_short_8: BUC5SQG3

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/BUC5SQG3KQELE7SKU6MCT4326W \
  | 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: 0d05d940db5408b27e4aa79829f37af5bbafcbc3372936da1508b4e62177df64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441400df9692526061d211ba5b666ed6329b1dc3863dc85019b9c7d9742d038e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-04T16:33:05Z",
    "title_canon_sha256": "dd348855e469473eb0f7740463892d3051b0adcbb9a62e375ea82c9bd9502fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01565",
    "kind": "arxiv",
    "version": 1
  }
}