Pith Number

pith:QBQNCAYS

pith:2015:QBQNCAYSRLHYV5KWG27TUAV442

not attested not anchored not stored refs pending

Triviality properties of principal bundles on singular curves

Najmuddin Fakhruddin, Prakash Belkale

arxiv:1509.06425 v4 · 2015-09-21 · 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{QBQNCAYSRLHYV5KWG27TUAV442}

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	2026-05-18T00:28:27.437680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8060d103128acf8af55636bf3a02bce6b6ccb3e543430c61f5b5f2559e2eb15c

Aliases

arxiv: 1509.06425 · arxiv_version: 1509.06425v4 · doi: 10.48550/arxiv.1509.06425 · pith_short_12: QBQNCAYSRLHY · pith_short_16: QBQNCAYSRLHYV5KW · pith_short_8: QBQNCAYS

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/QBQNCAYSRLHYV5KWG27TUAV442 \
  | 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: 8060d103128acf8af55636bf3a02bce6b6ccb3e543430c61f5b5f2559e2eb15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77e003542dc3a156114664ae6e338049e351e2f4fcfb5003562c3fdaad9723c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-21T23:10:31Z",
    "title_canon_sha256": "08ee9779a852570e53c57d56ba41fdc6ea6291d3a6af4f2f8cea76b0a69ad802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06425",
    "kind": "arxiv",
    "version": 4
  }
}