Pith Number

pith:O56ARXCE

pith:2010:O56ARXCENM4SP45HFQEFDGC62O

not attested not anchored not stored refs pending

Vector bundles trivialized by proper morphisms and the fundamental group scheme, II

Indranil Biswas, Joao Pedro dos Santos

arxiv:1004.3609 v3 · 2010-04-21 · 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{O56ARXCENM4SP45HFQEFDGC62O}

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	2026-05-18T04:21:13.720218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777c08dc446b3927f3a72c0851985ed3ad17665e67f4d6e27536cd6818f7bdf6

Aliases

arxiv: 1004.3609 · arxiv_version: 1004.3609v3 · doi: 10.48550/arxiv.1004.3609 · pith_short_12: O56ARXCENM4S · pith_short_16: O56ARXCENM4SP45H · pith_short_8: O56ARXCE

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/O56ARXCENM4SP45HFQEFDGC62O \
  | 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: 777c08dc446b3927f3a72c0851985ed3ad17665e67f4d6e27536cd6818f7bdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4bf30fbe0bee0418826dafc6c1efd775e24f0002e7cac6d4ac10497d66090ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-21T02:21:27Z",
    "title_canon_sha256": "4fa75589473a94c8b1666222f25f5819691272dbff251760b8d3b86f3aa15085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3609",
    "kind": "arxiv",
    "version": 3
  }
}