Pith Number

pith:CEUWEEKG

pith:2011:CEUWEEKGI4VWRFV6X7CJNICPM4

not attested not anchored not stored refs pending

Landau-Ginzburg Mirror Symmetry for Orbifolded Frobenius Algebras

Amanda Francis, Drew Johnson, Rachel Suggs, Tyler Jarvis

arxiv:1111.2508 v1 · 2011-11-10 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEUWEEKGI4VWRFV6X7CJNICPM4}

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	2026-05-18T04:08:33.987273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1129621146472b6896bebfc496a04f670208da790da008a6acc7a830184a1e8d

Aliases

arxiv: 1111.2508 · arxiv_version: 1111.2508v1 · doi: 10.48550/arxiv.1111.2508 · pith_short_12: CEUWEEKGI4VW · pith_short_16: CEUWEEKGI4VWRFV6 · pith_short_8: CEUWEEKG

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/CEUWEEKGI4VWRFV6X7CJNICPM4 \
  | 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: 1129621146472b6896bebfc496a04f670208da790da008a6acc7a830184a1e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d15bc19fbf62803b71b199e442b029483bf8ee47b80933d3eb64ef10cdb00c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-10T16:13:22Z",
    "title_canon_sha256": "d253b693ba6808c6553305ce51ef4907670e7ea53669c6deea1a796ba81d11fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2508",
    "kind": "arxiv",
    "version": 1
  }
}