Pith Number

pith:JIG6AQI2

pith:2014:JIG6AQI2XQJT6LMMIZX6OL4QM5

not attested not anchored not stored refs pending

A conditional determination of the average rank of elliptic curves

Daniel Fiorilli

arxiv:1403.7108 v1 · 2014-03-27 · 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{JIG6AQI2XQJT6LMMIZX6OL4QM5}

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	2026-05-18T00:44:29.123219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0de0411abc133f2d8c466fe72f9067510d45acacae4dee882961378a3842df

Aliases

arxiv: 1403.7108 · arxiv_version: 1403.7108v1 · doi: 10.48550/arxiv.1403.7108 · pith_short_12: JIG6AQI2XQJT · pith_short_16: JIG6AQI2XQJT6LMM · pith_short_8: JIG6AQI2

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/JIG6AQI2XQJT6LMMIZX6OL4QM5 \
  | 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: 4a0de0411abc133f2d8c466fe72f9067510d45acacae4dee882961378a3842df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded71080e06c836ab237ead12ab6755997c76e8cc60f6d4bf1c63823fe183764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-27T16:06:47Z",
    "title_canon_sha256": "fc6102e0825bdf8e6119683c65ef59c37b2a6b1d027abbe0e7f0025de1ab9c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7108",
    "kind": "arxiv",
    "version": 1
  }
}