Pith Number

pith:MQHFG47P

pith:2013:MQHFG47PZN3FLNBY6NI3TZVUMT

not attested not anchored not stored refs pending

One-level density of families of elliptic curves and the Ratios Conjectures

Chantal David, Duc Khiem Huynh, James Parks

arxiv:1309.1027 v1 · 2013-09-04 · 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{MQHFG47PZN3FLNBY6NI3TZVUMT}

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	2026-05-18T03:14:09.290756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640e5373efcb7655b438f351b9e6b464d8e8639f0b1d5dea0fcea4eb62217768

Aliases

arxiv: 1309.1027 · arxiv_version: 1309.1027v1 · doi: 10.48550/arxiv.1309.1027 · pith_short_12: MQHFG47PZN3F · pith_short_16: MQHFG47PZN3FLNBY · pith_short_8: MQHFG47P

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/MQHFG47PZN3FLNBY6NI3TZVUMT \
  | 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: 640e5373efcb7655b438f351b9e6b464d8e8639f0b1d5dea0fcea4eb62217768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e09935475db5f6bc47d2b8917aadbfda8f508d517216e07e8fc40be760826e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-04T13:48:16Z",
    "title_canon_sha256": "290762df2c8ae8faef2a97e1e82b1b57fde93ccd38a38fce31bf0fa3bb483bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1027",
    "kind": "arxiv",
    "version": 1
  }
}