Pith Number

pith:PW56DREZ

pith:2020:PW56DREZMZI4UVAB2FN2NWSZD3

not attested not anchored not stored refs pending

On Hasse's Unit Index

Djordjo Z. Milovic

arxiv:2001.07213 v1 · 2020-01-20 · 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{PW56DREZMZI4UVAB2FN2NWSZD3}

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

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields

Receipt and verification

First computed	2026-07-05T00:34:28.229366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dbbe1c4996651ca5401d15ba6da591ee48a3ee5cea8b422b1f43085e05b7831

Aliases

arxiv: 2001.07213 · arxiv_version: 2001.07213v1 · doi: 10.48550/arxiv.2001.07213 · pith_short_12: PW56DREZMZI4 · pith_short_16: PW56DREZMZI4UVAB · pith_short_8: PW56DREZ

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/PW56DREZMZI4UVAB2FN2NWSZD3 \
  | 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: 7dbbe1c4996651ca5401d15ba6da591ee48a3ee5cea8b422b1f43085e05b7831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d352e8b565de3cd35b34ff532e95513587ee99092d9cf53912b04ea94e9d698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-01-20T18:58:58Z",
    "title_canon_sha256": "f500f7bcd4af2d59b84bc6cafed50267799dc048ff9b1373f6e22de41718bfc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.07213",
    "kind": "arxiv",
    "version": 1
  }
}