Pith Number

pith:X4E6AFLA

pith:2013:X4E6AFLAWXRYAUXRTPCXASJZX5

not attested not anchored not stored refs pending

Coregular spaces and genus one curves

Manjul Bhargava, Wei Ho

arxiv:1306.4424 v1 · 2013-06-19 · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4E6AFLAWXRYAUXRTPCXASJZX5}

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	2026-05-18T03:20:34.519270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf09e01560b5e38052f19bc5704939bf5aa45b7f2fd234ff93581d266c224151

Aliases

arxiv: 1306.4424 · arxiv_version: 1306.4424v1 · doi: 10.48550/arxiv.1306.4424 · pith_short_12: X4E6AFLAWXRY · pith_short_16: X4E6AFLAWXRYAUXR · pith_short_8: X4E6AFLA

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/X4E6AFLAWXRYAUXRTPCXASJZX5 \
  | 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: bf09e01560b5e38052f19bc5704939bf5aa45b7f2fd234ff93581d266c224151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c44bede03d17054d6a68abf2a37a4c6c067a0979b93569df0e891fbfa01baa",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-19T05:12:44Z",
    "title_canon_sha256": "e3da57f28feba4e8430ca76f55fc09b326e462f4694f0b712719e6034ed4d611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4424",
    "kind": "arxiv",
    "version": 1
  }
}