Pith Number

pith:XP3CXUJP

pith:2010:XP3CXUJPRDKQCXB6SKPFV5WZYF

not attested not anchored not stored refs pending

The endomorphisms monoid of a homogeneous vector bundle

Alvaro Rittatore, L. Brambila-Paz

arxiv:1009.5932 v2 · 2010-09-29 · 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{XP3CXUJPRDKQCXB6SKPFV5WZYF}

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	2026-05-18T03:10:58.704362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a

Aliases

arxiv: 1009.5932 · arxiv_version: 1009.5932v2 · doi: 10.48550/arxiv.1009.5932 · pith_short_12: XP3CXUJPRDKQ · pith_short_16: XP3CXUJPRDKQCXB6 · pith_short_8: XP3CXUJP

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/XP3CXUJPRDKQCXB6SKPFV5WZYF \
  | 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: bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e233d968388a7e864fe7287eb85c9fd5811f35af3789dcfde0a76d97b367087b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-29T16:27:07Z",
    "title_canon_sha256": "9a54c9e0452fef00a8c9efc7c9017f0c61dbd30f00e14ca01a5a18b26892e5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5932",
    "kind": "arxiv",
    "version": 2
  }
}