Pith Number

pith:DGIUMKEP

pith:2014:DGIUMKEPDLTQ4UHACL7KO6GKQK

not attested not anchored not stored refs pending

Averages and moments associated to class numbers of imaginary quadratic fields

D. R. Heath-Brown, L. B. Pierce

arxiv:1409.3177 v2 · 2014-09-10 · 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{DGIUMKEPDLTQ4UHACL7KO6GKQK}

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	2026-05-18T00:41:08.541428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199146288f1ae70e50e012fea778ca82999c341d7859e5e3e1c286845fc3248e

Aliases

arxiv: 1409.3177 · arxiv_version: 1409.3177v2 · doi: 10.48550/arxiv.1409.3177 · pith_short_12: DGIUMKEPDLTQ · pith_short_16: DGIUMKEPDLTQ4UHA · pith_short_8: DGIUMKEP

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/DGIUMKEPDLTQ4UHACL7KO6GKQK \
  | 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: 199146288f1ae70e50e012fea778ca82999c341d7859e5e3e1c286845fc3248e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd7e86a482ed782cb12947ad92c5cb16638a8a54445eb3491b7f859327ff48bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-10T18:30:08Z",
    "title_canon_sha256": "b8d935c9a26ca7237d94e52e8c2f333e98661158e55abf8591cd2838214f3883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3177",
    "kind": "arxiv",
    "version": 2
  }
}