Pith Number

pith:SADTMNAD

pith:2016:SADTMNAD2OBRXEZ2HHXRKPOZQP

not attested not anchored not stored refs pending

Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. II. Positivity, integrality and the gluing formula

Tony Yue Yu

arxiv:1608.07651 v3 · 2016-08-27 · math.AG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SADTMNAD2OBRXEZ2HHXRKPOZQP}

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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

The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus

Receipt and verification

First computed	2026-07-05T00:43:17.747207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9007363403d3831b933a39ef153dd983c4c49006433e95a107be924d29a205bd

Aliases

arxiv: 1608.07651 · arxiv_version: 1608.07651v3 · doi: 10.48550/arxiv.1608.07651 · pith_short_12: SADTMNAD2OBR · pith_short_16: SADTMNAD2OBRXEZ2 · pith_short_8: SADTMNAD

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/SADTMNAD2OBRXEZ2HHXRKPOZQP \
  | 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: 9007363403d3831b933a39ef153dd983c4c49006433e95a107be924d29a205bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e55e08b94fe4915a3cbfc9393824f8fa0afd2eacc7da371bcfd3263ce09766",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-27T02:42:35Z",
    "title_canon_sha256": "aa6e67524f2afdc65fff749f5d8f4b64aaa325fd11404fdad6a26d10ccfdd008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07651",
    "kind": "arxiv",
    "version": 3
  }
}