pith. sign in
Pith Number

pith:LIWXFRQQ

pith:2011:LIWXFRQQYLLFYDP4N23G5IYJOL
not attested not anchored not stored refs pending

Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1

Flaminio Flamini, Gian Mario Besana, Maria Lucia Fania

arxiv:1110.5464 v2 · 2011-10-25 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LIWXFRQQYLLFYDP4N23G5IYJOL}

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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 2026-05-18T03:44:49.412882Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e

Aliases

arxiv: 1110.5464 · arxiv_version: 1110.5464v2 · doi: 10.48550/arxiv.1110.5464 · pith_short_12: LIWXFRQQYLLF · pith_short_16: LIWXFRQQYLLFYDP4 · pith_short_8: LIWXFRQQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL \
  | 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: 5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fd46e80d2821606fe9593c972199a06b2c51628847b6dd21e15b1cf2b95d3f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-25T11:12:45Z",
    "title_canon_sha256": "5994b113b10f8e1a74bba3bb464cddcefc7d7d0db3c866a63acaaedc6951f9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5464",
    "kind": "arxiv",
    "version": 2
  }
}