Pith Number

pith:32OEJYPR

pith:2018:32OEJYPRZKZCRWYM7TSOCVDFZD

not attested not anchored not stored refs pending

Chiral Homology of elliptic curves and the Zhu algebra

Jethro van Ekeren, Reimundo Heluani

arxiv:1804.00017 v4 · 2018-03-30 · math.QA · 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{32OEJYPRZKZCRWYM7TSOCVDFZD}

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	2026-07-05T02:22:20.179458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9c44e1f1cab228db0cfce4e15465c8d1d0fa043e9576ace330a714eb17b9e3

Aliases

arxiv: 1804.00017 · arxiv_version: 1804.00017v4 · doi: 10.48550/arxiv.1804.00017 · pith_short_12: 32OEJYPRZKZC · pith_short_16: 32OEJYPRZKZCRWYM · pith_short_8: 32OEJYPR

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/32OEJYPRZKZCRWYM7TSOCVDFZD \
  | 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: de9c44e1f1cab228db0cfce4e15465c8d1d0fa043e9576ace330a714eb17b9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3ae23d431c3a7a96d56c702fcf0cab552456be9132bfc5fc7cd709bcfa8934",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-30T18:11:06Z",
    "title_canon_sha256": "bf601e3ec61d8a87e844010e5878df0081be2638ecf11d6019f0ffc537e82ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00017",
    "kind": "arxiv",
    "version": 4
  }
}