Pith Number

pith:UQAABAW5

pith:2016:UQAABAW5WNRDVTHVZU65ASNDRM

not attested not anchored not stored refs pending

On Bhargava's heuristics for $\mathbf{GL}_2(\mathbb{F}_p)$-number fields and the number of elliptic curves of bounded conductor

Michael Lipnowski

arxiv:1610.09467 v1 · 2016-10-29 · 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{UQAABAW5WNRDVTHVZU65ASNDRM}

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	2026-05-18T01:00:51.947877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4000082ddb3623accf5cd3dd049a38b3fa136f82be72a06d0efa1149433a6d0

Aliases

arxiv: 1610.09467 · arxiv_version: 1610.09467v1 · doi: 10.48550/arxiv.1610.09467 · pith_short_12: UQAABAW5WNRD · pith_short_16: UQAABAW5WNRDVTHV · pith_short_8: UQAABAW5

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/UQAABAW5WNRDVTHVZU65ASNDRM \
  | 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: a4000082ddb3623accf5cd3dd049a38b3fa136f82be72a06d0efa1149433a6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca41ab1b5b44625283b9ac408e83166b9d4b14b070fb294a6889fd6884c372e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-29T07:14:50Z",
    "title_canon_sha256": "15a104259c1a2384fe5f6d13576c59e1e9ef009c5d56a719866d5ccf86887459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09467",
    "kind": "arxiv",
    "version": 1
  }
}