Pith Number

pith:LQH5JVH3

pith:2013:LQH5JVH3YPDRBSKPJUHUDY4JEC

not attested not anchored not stored refs pending

Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P^1_{a,b,c}

Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau

arxiv:1308.4651 v4 · 2013-08-21 · 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{LQH5JVH3YPDRBSKPJUHUDY4JEC}

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	2026-05-18T02:23:35.410442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c0fd4d4fbc3c710c94f4d0f41e3892085656a89929f0165c5872519b4c4039e

Aliases

arxiv: 1308.4651 · arxiv_version: 1308.4651v4 · doi: 10.48550/arxiv.1308.4651 · pith_short_12: LQH5JVH3YPDR · pith_short_16: LQH5JVH3YPDRBSKP · pith_short_8: LQH5JVH3

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/LQH5JVH3YPDRBSKPJUHUDY4JEC \
  | 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: 5c0fd4d4fbc3c710c94f4d0f41e3892085656a89929f0165c5872519b4c4039e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e8ff40dd364b7621d53d56ba8dee6f243ee1f5d559fe508cf324c92585c6c4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-08-21T18:12:41Z",
    "title_canon_sha256": "247e5476ad07a01f50ee667c7543717cc4a91f30139002cc21ffe1de340302c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4651",
    "kind": "arxiv",
    "version": 4
  }
}