Pith Number

pith:VWH3YQP5

pith:2009:VWH3YQP5KFDAI4AKHGJGHEVS3H

not attested not anchored not stored refs pending

A generalization of Gabriel's Galois covering functors II: 2-categorical Cohen-Montgomery duality

Hideto Asashiba

arxiv:0905.3884 v4 · 2009-05-24 · math.CT · 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{VWH3YQP5KFDAI4AKHGJGHEVS3H}

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	2026-05-18T01:28:26.468175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8fbc41fd514604700a39926392b2d9e97d2f25b538c7dfab8c6e29969cbe12

Aliases

arxiv: 0905.3884 · arxiv_version: 0905.3884v4 · doi: 10.48550/arxiv.0905.3884 · pith_short_12: VWH3YQP5KFDA · pith_short_16: VWH3YQP5KFDAI4AK · pith_short_8: VWH3YQP5

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/VWH3YQP5KFDAI4AKHGJGHEVS3H \
  | 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: ad8fbc41fd514604700a39926392b2d9e97d2f25b538c7dfab8c6e29969cbe12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0214da72c2d95e13d687aef0925fd9eff893fedff17a9bd0ec5576e12fe10f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-05-24T09:55:39Z",
    "title_canon_sha256": "6d25b3d528bcfd1c0cfa5efc1bb232a3890e604cc4503b83ad151965f6d6ea75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3884",
    "kind": "arxiv",
    "version": 4
  }
}