Pith Number

pith:LK44DYLB

pith:2018:LK44DYLBYXERHMV4HRTZK7OGTE

not attested not anchored not stored refs pending

Unexpected hypersurfaces and where to find them

B. Harbourne, J. Migliore, U. Nagel, Z. Teitler

arxiv:1805.10626 v3 · 2018-05-27 · 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{LK44DYLBYXERHMV4HRTZK7OGTE}

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	2026-05-17T23:57:50.609064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab9c1e161c5c913b2bc3c67957dc6990b4aa014a1d26857bbfc6248301ad943

Aliases

arxiv: 1805.10626 · arxiv_version: 1805.10626v3 · doi: 10.48550/arxiv.1805.10626 · pith_short_12: LK44DYLBYXER · pith_short_16: LK44DYLBYXERHMV4 · pith_short_8: LK44DYLB

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/LK44DYLBYXERHMV4HRTZK7OGTE \
  | 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: 5ab9c1e161c5c913b2bc3c67957dc6990b4aa014a1d26857bbfc6248301ad943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb305f178d7519a8cf7f5663813149242f88041c013c9cb65786b438d37d1607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-27T13:49:09Z",
    "title_canon_sha256": "98f17893d4d34fb1f9db9c47c2aa1176c9c1e758bcd71e395e6904e9b6843537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10626",
    "kind": "arxiv",
    "version": 3
  }
}