Pith Number

pith:6NW5LBNF

pith:2019:6NW5LBNFRPI2A2HMWTHT6X5T7Z

not attested not anchored not stored refs pending

Modular Curves and Mordell-Weil Torsion in F-theory

Nadir Hajouji, Paul-Konstantin Oehlmann

arxiv:1910.04095 v2 · 2019-10-09 · hep-th · math.AG · 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{6NW5LBNFRPI2A2HMWTHT6X5T7Z}

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	2026-07-05T01:04:03.862360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f36dd585a58bd1a068ecb4cf3f5fb3fe4f902ee08cea9ac539c559c30bf3811e

Aliases

arxiv: 1910.04095 · arxiv_version: 1910.04095v2 · doi: 10.48550/arxiv.1910.04095 · pith_short_12: 6NW5LBNFRPI2 · pith_short_16: 6NW5LBNFRPI2A2HM · pith_short_8: 6NW5LBNF

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/6NW5LBNFRPI2A2HMWTHT6X5T7Z \
  | 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: f36dd585a58bd1a068ecb4cf3f5fb3fe4f902ee08cea9ac539c559c30bf3811e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6eb74932c69422645941521be6d0d0886db75b31d953d74906b4e456055f2bc",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-10-09T16:17:31Z",
    "title_canon_sha256": "1dccaf593d8d5077d3bbf916777cbc1cbc6b5e4c32fae47a3ec799f320e7f15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.04095",
    "kind": "arxiv",
    "version": 2
  }
}