Pith Number

pith:5XHJSU6M

pith:2009:5XHJSU6MSAR6PNBNNPYHPKTEWH

not attested not anchored not stored refs pending

Low Rank Vector Bundles on the Grassmannian G(1,4)

Francesco Malaspina

arxiv:0909.4154 v1 · 2009-09-23 · 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{5XHJSU6MSAR6PNBNNPYHPKTEWH}

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	2026-05-18T02:11:45.010235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edce9953cc9023e7b42d6bf077aa64b1c25b32a11217d4b3f329b8c2e7566e9b

Aliases

arxiv: 0909.4154 · arxiv_version: 0909.4154v1 · doi: 10.48550/arxiv.0909.4154 · pith_short_12: 5XHJSU6MSAR6 · pith_short_16: 5XHJSU6MSAR6PNBN · pith_short_8: 5XHJSU6M

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/5XHJSU6MSAR6PNBNNPYHPKTEWH \
  | 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: edce9953cc9023e7b42d6bf077aa64b1c25b32a11217d4b3f329b8c2e7566e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9c627ae5632eaf17aab05a4fd66e46f0431d7dd3ba0fedf996c37b997a04be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-23T09:17:13Z",
    "title_canon_sha256": "5ab2e168e7abcb0a6206049d1aa7c621f56993cc96a400605f6285ff87294207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4154",
    "kind": "arxiv",
    "version": 1
  }
}