Pith Number

pith:3VPH2I64

pith:2019:3VPH2I64NB42JBQIPT3EUIFAG3

not attested not anchored not stored refs pending

Enveloping Classes over Commutative Rings

Giovanna Le Gros, Silvana Bazzoni

arxiv:1901.07921 v2 · 2019-01-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VPH2I64NB42JBQIPT3EUIFAG3}

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.

Cited by

1 paper in Pith

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories

Receipt and verification

First computed	2026-07-05T00:48:58.494153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5e7d23dc6879a486087cf64a20a036f122bcb22de15cd0c09ebd997013e59a

Aliases

arxiv: 1901.07921 · arxiv_version: 1901.07921v2 · doi: 10.48550/arxiv.1901.07921 · pith_short_12: 3VPH2I64NB42 · pith_short_16: 3VPH2I64NB42JBQI · pith_short_8: 3VPH2I64

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/3VPH2I64NB42JBQIPT3EUIFAG3 \
  | 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: dd5e7d23dc6879a486087cf64a20a036f122bcb22de15cd0c09ebd997013e59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71cb54e3d770705e9a8dd38720911c5a08bd16ec3193f324c60a728ee7c7a6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-23T14:42:49Z",
    "title_canon_sha256": "dcc241d55555dc48d17fc95ab5f0e1620a5d28b439b5579e5430a4b9dab7c926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07921",
    "kind": "arxiv",
    "version": 2
  }
}