Pith Number

pith:NBQDI2CU

pith:2018:NBQDI2CUYNEHELRKQLSRJW2IXJ

not attested not anchored not stored refs pending

On the Brauer-Siegel ratio for abelian varieties over function fields

Douglas Ulmer

arxiv:1806.01961 v2 · 2018-06-05 · 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{NBQDI2CUYNEHELRKQLSRJW2IXJ}

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	2026-05-17T23:40:36.441510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6860346854c348722e2a82e514db48ba65624fda007cc1c7671ea0f5683bf257

Aliases

arxiv: 1806.01961 · arxiv_version: 1806.01961v2 · doi: 10.48550/arxiv.1806.01961 · pith_short_12: NBQDI2CUYNEH · pith_short_16: NBQDI2CUYNEHELRK · pith_short_8: NBQDI2CU

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/NBQDI2CUYNEHELRKQLSRJW2IXJ \
  | 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: 6860346854c348722e2a82e514db48ba65624fda007cc1c7671ea0f5683bf257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9b9a77454f53d05adcaad2e172bfb37c669e16915c17e81d477c485e5f8b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-05T23:31:49Z",
    "title_canon_sha256": "4ce406c3b65fdf99b97a485c91e48ac27c191cd5d05808aadc393827f35b3ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01961",
    "kind": "arxiv",
    "version": 2
  }
}