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Pith Number

pith:N2GJESOB

pith:2019:N2GJESOBISQ46LJ2ENSWICXU6G
not attested not anchored not stored refs pending

A matrixwise approach to unexpected hypersurfaces

Brian Harbourne, Grzegorz Malara, Halszka Tutaj-Gasinska, Justyna Szpond, Lucja Farnik, Marcin Dumnicki

arxiv:1907.04832 v1 · 2019-07-10 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N2GJESOBISQ46LJ2ENSWICXU6G}

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 2026-05-17T23:40:56.551470Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7

Aliases

arxiv: 1907.04832 · arxiv_version: 1907.04832v1 · doi: 10.48550/arxiv.1907.04832 · pith_short_12: N2GJESOBISQ4 · pith_short_16: N2GJESOBISQ46LJ2 · pith_short_8: N2GJESOB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G \
  | 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: 6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f1b4bc970e39f1eb44ade3d3ab77aba48d92c09577818d44cce4a918286e75aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-10T17:25:47Z",
    "title_canon_sha256": "b7b766444d110605940c547ed84abc01973660b707d207f10d1eba9fd65e36fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04832",
    "kind": "arxiv",
    "version": 1
  }
}