Pith Number

pith:ICXQ2D4G

pith:2015:ICXQ2D4GQQZPASHDMDHREXIZGH

not attested not anchored not stored refs pending

On Hilbert $2$-class fields and $2$-towers of imaginary quadratic number fields

Victor Y. Wang

arxiv:1508.06552 v3 · 2015-08-26 · 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{ICXQ2D4GQQZPASHDMDHREXIZGH}

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	2026-05-18T01:27:31.276679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40af0d0f868432f048e360cf125d1931c0d1427b37fa105de0611331c0cdaa15

Aliases

arxiv: 1508.06552 · arxiv_version: 1508.06552v3 · doi: 10.48550/arxiv.1508.06552 · pith_short_12: ICXQ2D4GQQZP · pith_short_16: ICXQ2D4GQQZPASHD · pith_short_8: ICXQ2D4G

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/ICXQ2D4GQQZPASHDMDHREXIZGH \
  | 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: 40af0d0f868432f048e360cf125d1931c0d1427b37fa105de0611331c0cdaa15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b77a8034148e01f2c7a85be65d23bc8c0b03b9a1c86becbe796d027411ce01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-26T16:15:59Z",
    "title_canon_sha256": "92422102b98caefb0aa14be300df5fb0a90b8b43f50139cf4f10b9ec19462a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06552",
    "kind": "arxiv",
    "version": 3
  }
}