Pith Number

pith:FSXK5EB7

pith:2015:FSXK5EB7J3Y4MBJ5HLPYD6OTBM

not attested not anchored not stored refs pending

Equivariant split generation and mirror symmetry of special isogenous tori

WeiWei Wu

arxiv:1501.06257 v1 · 2015-01-26 · math.SG · 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{FSXK5EB7J3Y4MBJ5HLPYD6OTBM}

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	2026-05-18T02:28:41.909816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2caeae903f4ef1c6053d3adf81f9d30b1c8ac6cb045b041229e14fe8798b3d98

Aliases

arxiv: 1501.06257 · arxiv_version: 1501.06257v1 · doi: 10.48550/arxiv.1501.06257 · pith_short_12: FSXK5EB7J3Y4 · pith_short_16: FSXK5EB7J3Y4MBJ5 · pith_short_8: FSXK5EB7

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/FSXK5EB7J3Y4MBJ5HLPYD6OTBM \
  | 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: 2caeae903f4ef1c6053d3adf81f9d30b1c8ac6cb045b041229e14fe8798b3d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3753f8566f85bd7f50a88d77a1b1e237d33e9b159392244c1fc9cd98df9c04b3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-01-26T05:24:03Z",
    "title_canon_sha256": "71f5dc195b8c9059e549f82486ff596880e89212fd7b68d87c710fb01273a3e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06257",
    "kind": "arxiv",
    "version": 1
  }
}