Pith Number

pith:UTN3BEEG

pith:2011:UTN3BEEGFIO4K5RAGXVN4BNGVT

not attested not anchored not stored refs pending

Descent of restricted flat Mittag-Leffler modules and generalized vector bundles

Jan Trlifaj, Pedro A. Guil Asensio, Sergio Estrada

arxiv:1110.5364 v1 · 2011-10-24 · math.AC · 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{UTN3BEEGFIO4K5RAGXVN4BNGVT}

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	2026-05-18T04:10:23.035406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4dbb090862a1dc5762035eade05a6acec5053901112d71d264bb259c572f16f

Aliases

arxiv: 1110.5364 · arxiv_version: 1110.5364v1 · doi: 10.48550/arxiv.1110.5364 · pith_short_12: UTN3BEEGFIO4 · pith_short_16: UTN3BEEGFIO4K5RA · pith_short_8: UTN3BEEG

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/UTN3BEEGFIO4K5RAGXVN4BNGVT \
  | 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: a4dbb090862a1dc5762035eade05a6acec5053901112d71d264bb259c572f16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce0d1fd5b01485110bc79c09e1a0c154719996126fd843a28a0836cd8a352041",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-24T22:17:09Z",
    "title_canon_sha256": "4f44232a895223a75711b2df47ef3d8b93de37c1beedbf00aab16b4b2ac06395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5364",
    "kind": "arxiv",
    "version": 1
  }
}