Pith Number

pith:CZDDZBWA

pith:2015:CZDDZBWASNEGKFB76YKKXZWICG

not attested not anchored not stored refs pending

Homological mirror symmetry for hypersurface cusp singularities

Ailsa Keating

arxiv:1510.08911 v2 · 2015-10-29 · 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{CZDDZBWASNEGKFB76YKKXZWICG}

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	2026-05-18T00:43:39.825004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16463c86c0934865143ff614abe6c81195e4d7249edd3f48bf445a4a14890f25

Aliases

arxiv: 1510.08911 · arxiv_version: 1510.08911v2 · doi: 10.48550/arxiv.1510.08911 · pith_short_12: CZDDZBWASNEG · pith_short_16: CZDDZBWASNEGKFB7 · pith_short_8: CZDDZBWA

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/CZDDZBWASNEGKFB76YKKXZWICG \
  | 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: 16463c86c0934865143ff614abe6c81195e4d7249edd3f48bf445a4a14890f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27a93d161c7c09fdd083c0d834bc26677365328fd4d9eadd79228642090078d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-29T21:27:19Z",
    "title_canon_sha256": "0624b39fc62532802bb4a0629cef9517949ad234a189279c2432ade9fdc05f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08911",
    "kind": "arxiv",
    "version": 2
  }
}