Pith Number

pith:EOEHRTHA

pith:2016:EOEHRTHAEOKDHS7HZQVRYV3CY4

not attested not anchored not stored refs pending

Homological mirror symmetry for singularities

Wolfgang Ebeling

arxiv:1601.06027 v1 · 2016-01-22 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOEHRTHAEOKDHS7HZQVRYV3CY4}

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	2026-05-18T01:22:09.516194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

238878cce0239433cbe7cc2b1c5762c703bc2e1b9ba010fdeda8c6915413ec05

Aliases

arxiv: 1601.06027 · arxiv_version: 1601.06027v1 · doi: 10.48550/arxiv.1601.06027 · pith_short_12: EOEHRTHAEOKD · pith_short_16: EOEHRTHAEOKDHS7H · pith_short_8: EOEHRTHA

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/EOEHRTHAEOKDHS7HZQVRYV3CY4 \
  | 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: 238878cce0239433cbe7cc2b1c5762c703bc2e1b9ba010fdeda8c6915413ec05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524f8b52ab85dc54804a4a63642fe104e2852877978cb515270b898c4870f68e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-22T14:53:29Z",
    "title_canon_sha256": "0775ee53d5abfef3a85b1a4b0a41a7f6b68e0dfb367b1a5e1cb2bc7c52119f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06027",
    "kind": "arxiv",
    "version": 1
  }
}