Pith Number

pith:RWM5WJWP

pith:2015:RWM5WJWPAR7NTWUETKBUPIFU7V

not attested not anchored not stored refs pending

Twin Lagrangian fibrations in mirror symmetry

Naichung Conan Leung, Yin Li

arxiv:1506.04625 v6 · 2015-06-15 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWM5WJWPAR7NTWUETKBUPIFU7V}

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	2026-05-18T00:05:00.924503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d99db26cf047ed9da849a8347a0b4fd590b196e2ddaa08caab1b85933e89bd5

Aliases

arxiv: 1506.04625 · arxiv_version: 1506.04625v6 · doi: 10.48550/arxiv.1506.04625 · pith_short_12: RWM5WJWPAR7N · pith_short_16: RWM5WJWPAR7NTWUE · pith_short_8: RWM5WJWP

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/RWM5WJWPAR7NTWUETKBUPIFU7V \
  | 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: 8d99db26cf047ed9da849a8347a0b4fd590b196e2ddaa08caab1b85933e89bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63603b84dbe89e8f60fef56744a0f3dd23534e32f2e4462d7ef2f75788db651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-06-15T15:03:31Z",
    "title_canon_sha256": "0d64ceab76eb189731dc51fd4f8dcff39d8d5e6d1f2c588ae314feb6cbe573bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04625",
    "kind": "arxiv",
    "version": 6
  }
}