Pith Number

pith:JABLHJK7

pith:2014:JABLHJK7NU4GNRBYM7KJPWDGYR

not attested not anchored not stored refs pending

Mirror symmetry for exceptional unimodular singularities

Changzheng Li, Kyoji Saito, Si Li, Yefeng Shen

arxiv:1405.4530 v2 · 2014-05-18 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JABLHJK7NU4GNRBYM7KJPWDGYR}

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	2026-05-18T02:31:02.255172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4802b3a55f6d3866c43867d497d866c460a9f44338d21d2649e05c30450cd19f

Aliases

arxiv: 1405.4530 · arxiv_version: 1405.4530v2 · doi: 10.48550/arxiv.1405.4530 · pith_short_12: JABLHJK7NU4G · pith_short_16: JABLHJK7NU4GNRBY · pith_short_8: JABLHJK7

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/JABLHJK7NU4GNRBYM7KJPWDGYR \
  | 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: 4802b3a55f6d3866c43867d497d866c460a9f44338d21d2649e05c30450cd19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36211c4f7bea2f73a37859569a950e5a65d35bc7cbca4d1b4fe765d6e17b6fb8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-18T17:48:10Z",
    "title_canon_sha256": "200c8c3ddc25d076713d704518ef549a66ae0fc3c90edd41e8d5ca51fe601f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4530",
    "kind": "arxiv",
    "version": 2
  }
}