Pith Number

pith:ALK5MMVP

pith:2017:ALK5MMVPNRNQT3WBWNQWYVUFDH

not attested not anchored not stored refs pending

Construction of hyperbolic Horikawa surfaces

Yuchen Liu

arxiv:1702.08143 v2 · 2017-02-27 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALK5MMVPNRNQT3WBWNQWYVUFDH}

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	2026-05-18T00:00:31.166026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d5d632af6c5b09eec1b3616c568519cdcec0dc5956624ff2ff5a1234a26622

Aliases

arxiv: 1702.08143 · arxiv_version: 1702.08143v2 · doi: 10.48550/arxiv.1702.08143 · pith_short_12: ALK5MMVPNRNQ · pith_short_16: ALK5MMVPNRNQT3WB · pith_short_8: ALK5MMVP

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/ALK5MMVPNRNQT3WBWNQWYVUFDH \
  | 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: 02d5d632af6c5b09eec1b3616c568519cdcec0dc5956624ff2ff5a1234a26622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e564e746f1e6eeba6b41d4d940347cf286702db088d867294ec580b26f26a713",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-27T04:40:56Z",
    "title_canon_sha256": "d8fbb302e05d97aa67efe99dbfbe3c5eee8f225e482d1b328ecb6c64f1bf6abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08143",
    "kind": "arxiv",
    "version": 2
  }
}