Pith Number

pith:3NM4CSLR

pith:2023:3NM4CSLRVGMPDDZHN4BTWSP55B

not attested not anchored not stored refs pending

Normal forms for quasi-elliptic Enriques surfaces and applications

Matthias Sch\"utt, Toshiyuki Katsura

arxiv:2304.12599 v2 · 2023-04-25 · 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{3NM4CSLRVGMPDDZHN4BTWSP55B}

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	2026-05-20T14:03:16.501637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db59c14971a998f18f276f033b49fde872dbf4a5edc0358fa4ac8869655449af

Aliases

arxiv: 2304.12599 · arxiv_version: 2304.12599v2 · doi: 10.48550/arxiv.2304.12599 · pith_short_12: 3NM4CSLRVGMP · pith_short_16: 3NM4CSLRVGMPDDZH · pith_short_8: 3NM4CSLR

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/3NM4CSLRVGMPDDZHN4BTWSP55B \
  | 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: db59c14971a998f18f276f033b49fde872dbf4a5edc0358fa4ac8869655449af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fab3438282a5f9177cba84ef1b41b5ff5ee8525f0df5d5d284a769031e0279e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-04-25T06:12:19Z",
    "title_canon_sha256": "60117dc7bf4a2401ecd06e73f671c1a31c7526ad739ca502150b8f5cab61e08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.12599",
    "kind": "arxiv",
    "version": 2
  }
}