Pith Number

pith:6MIN6UO7

pith:2016:6MIN6UO7SJ2NNSVZVTJBVNNY3U

not attested not anchored not stored refs pending

On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces

Yochay Jerby

arxiv:1605.00236 v2 · 2016-05-01 · 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{6MIN6UO7SJ2NNSVZVTJBVNNY3U}

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	2026-05-18T00:44:13.830762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f310df51df9274d6cab9acd21ab5b8dd39f917e377108a9937b2f593185a57e3

Aliases

arxiv: 1605.00236 · arxiv_version: 1605.00236v2 · doi: 10.48550/arxiv.1605.00236 · pith_short_12: 6MIN6UO7SJ2N · pith_short_16: 6MIN6UO7SJ2NNSVZ · pith_short_8: 6MIN6UO7

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/6MIN6UO7SJ2NNSVZVTJBVNNY3U \
  | 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: f310df51df9274d6cab9acd21ab5b8dd39f917e377108a9937b2f593185a57e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e2a25655964b9213982c7357f67269139dafde1daf0b8fba7786b4d3e15e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-01T10:59:57Z",
    "title_canon_sha256": "f9c54628415de56451782540f2d1187b282bfc5c0b7b2172ad9efded46645dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00236",
    "kind": "arxiv",
    "version": 2
  }
}