pith. sign in
Pith Number

pith:2QWSACP6

pith:2019:2QWSACP622FTAVE3FWEINX2TZQ
not attested not anchored not stored refs pending

Moduli of polarized Calabi-Yau pairs

Chenyang Xu, J\'anos Koll\'ar

arxiv:1906.05907 v1 · 2019-06-13 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QWSACP622FTAVE3FWEINX2TZQ}

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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 2026-05-17T23:43:22.650759Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d42d2009fed68b30549b2d8886df53cc249f74f36f655c095889da204dd63f48

Aliases

arxiv: 1906.05907 · arxiv_version: 1906.05907v1 · doi: 10.48550/arxiv.1906.05907 · pith_short_12: 2QWSACP622FT · pith_short_16: 2QWSACP622FTAVE3 · pith_short_8: 2QWSACP6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QWSACP622FTAVE3FWEINX2TZQ \
  | 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: d42d2009fed68b30549b2d8886df53cc249f74f36f655c095889da204dd63f48
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "47266add567b34dcef244a323ff4a0b809a9005b5a50bce9335e9f1c3aef25e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-13T19:33:03Z",
    "title_canon_sha256": "b6f05ee111ba73950c1dbc03a1fa798f353e64efb8fa3ddb3a7dac5fd0d005b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05907",
    "kind": "arxiv",
    "version": 1
  }
}