Pith Number

pith:KBXGJBCP

pith:2012:KBXGJBCPZ55XVXQP2E3TWITF2V

not attested not anchored not stored refs pending

Vector bundles over noncommutative nodal curves

Denys E. Voloshyn, Yuriy A. Drozd

arxiv:1201.1710 v2 · 2012-01-09 · 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{KBXGJBCPZ55XVXQP2E3TWITF2V}

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	2026-05-18T02:28:48.526045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506e64844fcf7b7ade0fd1373b2265d56e848a9f554a42f3468ba00cdd52f36d

Aliases

arxiv: 1201.1710 · arxiv_version: 1201.1710v2 · doi: 10.48550/arxiv.1201.1710 · pith_short_12: KBXGJBCPZ55X · pith_short_16: KBXGJBCPZ55XVXQP · pith_short_8: KBXGJBCP

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/KBXGJBCPZ55XVXQP2E3TWITF2V \
  | 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: 506e64844fcf7b7ade0fd1373b2265d56e848a9f554a42f3468ba00cdd52f36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545b74a6acbcee20dce8e55e975d022fd3eee31d15b5fdb05bac7b2c019ca338",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-09T08:39:28Z",
    "title_canon_sha256": "42da78a6597d1f9537b8ce4c4ba492e91ec3a8de5cfb7e7d78178d9c82370f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1710",
    "kind": "arxiv",
    "version": 2
  }
}