Pith Number

pith:OJD2WUBH

pith:2016:OJD2WUBHJ623RPR3EYV7UY2Z4X

not attested not anchored not stored refs pending

Division Polynomials and Intersection of Projective Torsion Points

Fedor Bogomolov, Hang Fu

arxiv:1603.00401 v2 · 2016-03-01 · 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{OJD2WUBHJ623RPR3EYV7UY2Z4X}

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	2026-05-18T00:45:02.737921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7247ab50274fb5b8be3b262bfa6359e5c705a609f317276d601ddf80ea129c5c

Aliases

arxiv: 1603.00401 · arxiv_version: 1603.00401v2 · doi: 10.48550/arxiv.1603.00401 · pith_short_12: OJD2WUBHJ623 · pith_short_16: OJD2WUBHJ623RPR3 · pith_short_8: OJD2WUBH

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/OJD2WUBHJ623RPR3EYV7UY2Z4X \
  | 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: 7247ab50274fb5b8be3b262bfa6359e5c705a609f317276d601ddf80ea129c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a14d256b37220b03185481210c15ff197b8ccffea1e6bf1a5df42ae9b50465",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-01T18:55:16Z",
    "title_canon_sha256": "ccd5b44e830d01e27002dea8b338f9934b6d44b4f9d1b13457286e9baae70e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00401",
    "kind": "arxiv",
    "version": 2
  }
}