Pith Number

pith:BSMY7A5P

pith:2011:BSMY7A5P7BO6JZ2DQD7TV3CSVU

not attested not anchored not stored refs pending

A Lazard-like theorem for quasi-coherent sheaves

Pedro A. Guil Asensio, Sergio Estrada, Sinem Odabasi

arxiv:1109.0439 v1 · 2011-09-02 · math.AG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSMY7A5P7BO6JZ2DQD7TV3CSVU}

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	2026-05-18T04:14:15.662146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c998f83aff85de4e74380ff3aec52ad2a747158096a5e364249da5acb8c3679

Aliases

arxiv: 1109.0439 · arxiv_version: 1109.0439v1 · doi: 10.48550/arxiv.1109.0439 · pith_short_12: BSMY7A5P7BO6 · pith_short_16: BSMY7A5P7BO6JZ2D · pith_short_8: BSMY7A5P

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/BSMY7A5P7BO6JZ2DQD7TV3CSVU \
  | 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: 0c998f83aff85de4e74380ff3aec52ad2a747158096a5e364249da5acb8c3679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f32e0825cb573d96564fd5d7232a317bb4d961cfaf967af061ea62a1860093",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-02T13:37:37Z",
    "title_canon_sha256": "43ccb337a70356ec8e27e5e8fbdc57cc8dbec032e71e9e1962dbb8e3dc24f72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0439",
    "kind": "arxiv",
    "version": 1
  }
}