Pith Number

pith:XWBKSGRT

pith:2017:XWBKSGRTAOXQ6BKD2ZKETGS6KT

not attested not anchored not stored refs pending

A generic global Torelli theorem for certain Horikawa surfaces

Gregory Pearlstein, Zheng Zhang

arxiv:1702.06204 v2 · 2017-02-20 · 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{XWBKSGRTAOXQ6BKD2ZKETGS6KT}

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	2026-05-18T00:33:39.413861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd82a91a3303af0f0543d654499a5e54cce387a82640ed174c57ae673618d164

Aliases

arxiv: 1702.06204 · arxiv_version: 1702.06204v2 · doi: 10.48550/arxiv.1702.06204 · pith_short_12: XWBKSGRTAOXQ · pith_short_16: XWBKSGRTAOXQ6BKD · pith_short_8: XWBKSGRT

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/XWBKSGRTAOXQ6BKD2ZKETGS6KT \
  | 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: bd82a91a3303af0f0543d654499a5e54cce387a82640ed174c57ae673618d164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf63c06abfb687ac1dc464a16acd23f3863cab260998159da544633655ef6ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-20T23:06:57Z",
    "title_canon_sha256": "3143a420983b13068f022de634ce9e06f2e2fd415d78af507fa1c4f63a0e5232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06204",
    "kind": "arxiv",
    "version": 2
  }
}