Pith. sign in
Pith Number

pith:D32KU32O

pith:2019:D32KU32OF3B2UEB2R3OVDDQWNL
not attested not anchored not stored refs pending

15-nodal quartic surfaces. Part II: The automorphism group

Ichiro Shimada, Igor Dolgachev

arxiv:1908.05390 v3 · 2019-08-15 · math.AG · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D32KU32OF3B2UEB2R3OVDDQWNL}

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

Receipt and verification
First computed 2026-07-05T00:15:07.968031Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1ef4aa6f4e2ec3aa103a8edd518e166af9d7c036341888731f4e4ab9f8efa92a

Aliases

arxiv: 1908.05390 · arxiv_version: 1908.05390v3 · doi: 10.48550/arxiv.1908.05390 · pith_short_12: D32KU32OF3B2 · pith_short_16: D32KU32OF3B2UEB2 · pith_short_8: D32KU32O
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D32KU32OF3B2UEB2R3OVDDQWNL \
  | 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: 1ef4aa6f4e2ec3aa103a8edd518e166af9d7c036341888731f4e4ab9f8efa92a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "59a8bc8af3c8fdade7aa6301836d902c9c25ea63eac9c2b3dd490fcfdbbe4c55",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-15T01:35:47Z",
    "title_canon_sha256": "7dd9717fa04c09bdd7c59e666e340719a3d8e75097b73b9c20f6457a60844ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05390",
    "kind": "arxiv",
    "version": 3
  }
}