Pith Number

pith:VK7HXMVY

pith:2010:VK7HXMVYVW6YNXESERQCHX64VD

not attested not anchored not stored refs pending

Half-integrable modules over algebras of twisted chiral differential operators

Dmytro Chebotarov

arxiv:1010.3776 v1 · 2010-10-19 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VK7HXMVYVW6YNXESERQCHX64VD}

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	2026-05-18T04:39:07.616045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aabe7bb2b8adbd86dc92246023dfdca8c1eaa133139f250ee3cbdac9ab56c809

Aliases

arxiv: 1010.3776 · arxiv_version: 1010.3776v1 · doi: 10.48550/arxiv.1010.3776 · pith_short_12: VK7HXMVYVW6Y · pith_short_16: VK7HXMVYVW6YNXES · pith_short_8: VK7HXMVY

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/VK7HXMVYVW6YNXESERQCHX64VD \
  | 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: aabe7bb2b8adbd86dc92246023dfdca8c1eaa133139f250ee3cbdac9ab56c809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7bc61cdc249f63a07b4f7258deec8e8f54933b240623cb6c715f2caebda184",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-19T01:31:14Z",
    "title_canon_sha256": "7105e2fc4ef183a380b9dd197b207a6f728c741feca779419e623e84007e7463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3776",
    "kind": "arxiv",
    "version": 1
  }
}