Pith Number

pith:VLTCYOCD

pith:2024:VLTCYOCDWYDXENTJRT7NIHPZL7

not attested not anchored not stored refs pending

SIC-POVMs and orders of real quadratic fields

Gene S. Kopp, Jeffrey C. Lagarias

arxiv:2407.08048 v4 · 2024-07-10 · math.NT · math.MG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLTCYOCDWYDXENTJRT7NIHPZL7}

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.

Cited by

1 paper in Pith

Unit-generated orders of real quadratic fields I. Class number bounds

Receipt and verification

First computed	2026-05-17T23:39:18.412096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae62c3843b6077236698cfed41df95ffb3b39572b38c855783f7c8060040f8e

Aliases

arxiv: 2407.08048 · arxiv_version: 2407.08048v4 · doi: 10.48550/arxiv.2407.08048 · pith_short_12: VLTCYOCDWYDX · pith_short_16: VLTCYOCDWYDXENTJ · pith_short_8: VLTCYOCD

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/VLTCYOCDWYDXENTJRT7NIHPZL7 \
  | 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: aae62c3843b6077236698cfed41df95ffb3b39572b38c855783f7c8060040f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3e0509b29cc103ca1c163f98ce258512bad13a5afcd4294003085487f52fa9",
    "cross_cats_sorted": [
      "math.MG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-10T21:05:23Z",
    "title_canon_sha256": "bab9027f002aefbffc16e41de805dcbe580de07326f524a5cbc7cb18a838bf5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08048",
    "kind": "arxiv",
    "version": 4
  }
}