Pith Number

pith:L6M5J4JY

pith:2013:L6M5J4JYK57MGLQEPSWII3N5P2

not attested not anchored not stored refs pending

Algebraic vector bundles on punctured affine spaces and smooth quadrics

Brent Doran, Jun Yu

arxiv:1303.0575 v1 · 2013-03-03 · math.GR · 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{L6M5J4JYK57MGLQEPSWII3N5P2}

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	2026-05-18T03:31:55.534541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f99d4f138577ec32e047cac846dbd7ea31b356bbfc878b92f02dfc4eb9175fe

Aliases

arxiv: 1303.0575 · arxiv_version: 1303.0575v1 · doi: 10.48550/arxiv.1303.0575 · pith_short_12: L6M5J4JYK57M · pith_short_16: L6M5J4JYK57MGLQE · pith_short_8: L6M5J4JY

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/L6M5J4JYK57MGLQEPSWII3N5P2 \
  | 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: 5f99d4f138577ec32e047cac846dbd7ea31b356bbfc878b92f02dfc4eb9175fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e5e8ab78f44348b6ccd746ed59229d79eb615d9d23c0ef6855d55fd01ec001",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-03T22:24:01Z",
    "title_canon_sha256": "92bd8d83c80fec38f4f2097b73dcba08bc8ee5a2b3cc920a7cd8f00c2fb4c2ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0575",
    "kind": "arxiv",
    "version": 1
  }
}