Pith Number

pith:4JWFR4XN

pith:2015:4JWFR4XNWI65IK7BNOGAI2YABX

not attested not anchored not stored refs pending

A remark about mirror symmetry of elliptic curves and generalized complex geometry

Leonardo Soriani Alves, Lino Grama

arxiv:1506.03665 v2 · 2015-06-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JWFR4XNWI65IK7BNOGAI2YABX}

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	2026-05-18T01:32:50.311474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26c58f2edb23dd42be16b8c046b000dc30e38dcd7b795fa6671660b8c1a7dcb

Aliases

arxiv: 1506.03665 · arxiv_version: 1506.03665v2 · doi: 10.48550/arxiv.1506.03665 · pith_short_12: 4JWFR4XNWI65 · pith_short_16: 4JWFR4XNWI65IK7B · pith_short_8: 4JWFR4XN

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/4JWFR4XNWI65IK7BNOGAI2YABX \
  | 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: e26c58f2edb23dd42be16b8c046b000dc30e38dcd7b795fa6671660b8c1a7dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197b2f5b5db823e49691f5f5efcda1eccd0927a0d62f2ad6f507c86e9f62130a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-11T13:30:39Z",
    "title_canon_sha256": "11ddb419ff209d5e1845fa04f2630f2cc5fc75cc8e683ef6ada1628b8ae48606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03665",
    "kind": "arxiv",
    "version": 2
  }
}