Pith Number

pith:67ZMZYBP

pith:2025:67ZMZYBPILSCXK2YSS5Z2SDBHX

not attested not anchored not stored refs pending

EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds

Shizhuo Zhang, Ziqi Liu

arxiv:2512.13269 v4 · 2025-12-15 · 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{67ZMZYBPILSCXK2YSS5Z2SDBHX}

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	2026-05-26T02:04:01.309202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f2cce02f42e42bab5894bb9d48613dd2862d4aa2ee8540291770fdeaa2a741

Aliases

arxiv: 2512.13269 · arxiv_version: 2512.13269v4 · doi: 10.48550/arxiv.2512.13269 · pith_short_12: 67ZMZYBPILSC · pith_short_16: 67ZMZYBPILSCXK2Y · pith_short_8: 67ZMZYBP

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/67ZMZYBPILSCXK2YSS5Z2SDBHX \
  | 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: f7f2cce02f42e42bab5894bb9d48613dd2862d4aa2ee8540291770fdeaa2a741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2671cfacae2f2a482bf3eb946ec0f5db62d9ec23aef83156c3d7ad2511f5bfcf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-15T12:28:47Z",
    "title_canon_sha256": "4f1b615d472cdfe1701a5943a4cdfc94cea32639dd78f82ecd5f61c974555272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13269",
    "kind": "arxiv",
    "version": 4
  }
}