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Pith Number

pith:JOI2S56D

pith:2015:JOI2S56DTMNHDEWL7VKFVL5XK5
not attested not anchored not stored refs pending

Towards Homological Projective duality for S^2 P^3 and S^2 P^4

Hiromichi Takagi, Shinobu Hosono

arxiv:1508.01997 v1 · 2015-08-09 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JOI2S56DTMNHDEWL7VKFVL5XK5}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T01:35:37.359894Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b91a977c39b1a7192cbfd545aafb757768cba309dec7b102d5d2d74e6c9d9bf

Aliases

arxiv: 1508.01997 · arxiv_version: 1508.01997v1 · doi: 10.48550/arxiv.1508.01997 · pith_short_12: JOI2S56DTMNH · pith_short_16: JOI2S56DTMNHDEWL · pith_short_8: JOI2S56D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JOI2S56DTMNHDEWL7VKFVL5XK5 \
  | 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: 4b91a977c39b1a7192cbfd545aafb757768cba309dec7b102d5d2d74e6c9d9bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a7d2a2fb93fb17ddf2608beff59178b9860e81300ec52ddd7dfeea32e947267a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-09T08:02:49Z",
    "title_canon_sha256": "f45dc8ddae5034633351bb57a7640f1782441b527f95b7c1a7358940fd02000b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01997",
    "kind": "arxiv",
    "version": 1
  }
}