Pith Number

pith:CAFG6M3G

pith:2026:CAFG6M3G3RKHJDORBJLID7ZJ2I

not attested not anchored not stored refs pending

Pseudo-hyperbolicity of Horikawa surfaces

Anibal Aravena, Jaime Negrete, Wern Yeong

arxiv:2608.08276 v1 · 2026-08-08 · 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{CAFG6M3G3RKHJDORBJLID7ZJ2I}

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	2026-08-11T01:22:11.918987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100a6f3366dc54748dd10a5681ff29d22f360cab1062ac6e59ba418d1eaf8b71

Aliases

arxiv: 2608.08276 · arxiv_version: 2608.08276v1 · doi: 10.48550/arxiv.2608.08276 · pith_short_12: CAFG6M3G3RKH · pith_short_16: CAFG6M3G3RKHJDOR · pith_short_8: CAFG6M3G

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/CAFG6M3G3RKHJDORBJLID7ZJ2I \
  | 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: 100a6f3366dc54748dd10a5681ff29d22f360cab1062ac6e59ba418d1eaf8b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62caa4fd44e92e30cb79a25eecc5fa2ff970ca5fb35a00074e06e0315809bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-08T18:11:34Z",
    "title_canon_sha256": "fd4b50a2bad2201b630565def5304efa6a24b93fa56f3d9fe6584c1177fa28fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08276",
    "kind": "arxiv",
    "version": 1
  }
}