Pith Number

pith:VOG2CEI7

pith:2024:VOG2CEI7TMNP3UP576F2KFW7EX

not attested not anchored not stored refs pending

The affine Grassmannian as a presheaf quotient

Kestutis Cesnavicius

arxiv:2401.04314 v3 · 2024-01-09 · 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{VOG2CEI7TMNP3UP576F2KFW7EX}

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

Generically trivial torsors under constant groups

Receipt and verification

First computed	2026-07-05T11:04:35.425931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8da1111f9b1afdd1fdff8ba516df25cb15db1b2c9409c09a2a1f87511fefad

Aliases

arxiv: 2401.04314 · arxiv_version: 2401.04314v3 · doi: 10.48550/arxiv.2401.04314 · pith_short_12: VOG2CEI7TMNP · pith_short_16: VOG2CEI7TMNP3UP5 · pith_short_8: VOG2CEI7

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/VOG2CEI7TMNP3UP576F2KFW7EX \
  | 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: ab8da1111f9b1afdd1fdff8ba516df25cb15db1b2c9409c09a2a1f87511fefad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cadcc99df576d18c52230d0de4b430d420ee71cea0d4d0e5925e731d1abb60a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-01-09T02:06:06Z",
    "title_canon_sha256": "4973a4b6c9b7b8f54423230e8f849ea6bcbb07ec0e1fbb2e0681c4c593e9b1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04314",
    "kind": "arxiv",
    "version": 3
  }
}