Pith Number

pith:32TYS3FE

pith:2018:32TYS3FEL5QXZVNZRYLVWUAEIJ

not attested not anchored not stored refs pending

Canonical threefold singularities with a torus action of complexity one and $k$-empty polytopes

Daniel H\"attig, Lukas Braun

arxiv:1807.08022 v1 · 2018-07-20 · 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{32TYS3FEL5QXZVNZRYLVWUAEIJ}

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	2026-05-18T00:10:14.464770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea7896ca45f617cd5b98e175b5004427455f9419d3efc36f28f12316126edbb

Aliases

arxiv: 1807.08022 · arxiv_version: 1807.08022v1 · doi: 10.48550/arxiv.1807.08022 · pith_short_12: 32TYS3FEL5QX · pith_short_16: 32TYS3FEL5QXZVNZ · pith_short_8: 32TYS3FE

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/32TYS3FEL5QXZVNZRYLVWUAEIJ \
  | 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: dea7896ca45f617cd5b98e175b5004427455f9419d3efc36f28f12316126edbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb04d82742b31005e12c5a3e3b3be254bbc0bc2ab28b23b291517e46aff3f8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-20T20:41:14Z",
    "title_canon_sha256": "427221b33240479f9bec2e6980161c73ffbdb845d4c1cbcc91c491fa7d435967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08022",
    "kind": "arxiv",
    "version": 1
  }
}