Pith Number

pith:V5625BDF

pith:2017:V5625BDF7WIJ6Z3M6SBD3CG54U

not attested not anchored not stored refs pending

Elliptic Curves with Large Intersection of Projective Torsion Points

Fedor Bogomolov, Hang Fu

arxiv:1706.04747 v3 · 2017-06-15 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5625BDF7WIJ6Z3M6SBD3CG54U}

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	2026-05-18T00:27:09.466360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7dae8465fd909f676cf4823d88dde535cadfeb32283b796dcd2a3fca289e35

Aliases

arxiv: 1706.04747 · arxiv_version: 1706.04747v3 · doi: 10.48550/arxiv.1706.04747 · pith_short_12: V5625BDF7WIJ · pith_short_16: V5625BDF7WIJ6Z3M · pith_short_8: V5625BDF

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/V5625BDF7WIJ6Z3M6SBD3CG54U \
  | 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: af7dae8465fd909f676cf4823d88dde535cadfeb32283b796dcd2a3fca289e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c884433661c1d994de3ddae3962dc236003626c996534bbe057c3832eca65bfa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-15T06:07:21Z",
    "title_canon_sha256": "99775da82d5c023fe76aeb8c83519ec00c7ec1b669e07826e11b64db23fc924d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04747",
    "kind": "arxiv",
    "version": 3
  }
}