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Pith Number

pith:ZQV2OJOJ

pith:2018:ZQV2OJOJPWDDD6ECTUGRJ4NUGH
not attested not anchored not stored refs pending

A splitting of the virtual class for genus one stable maps

Cristina Manolache, Tom Coates

arxiv:1809.04162 v1 · 2018-09-11 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZQV2OJOJPWDDD6ECTUGRJ4NUGH}

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 2026-05-18T00:05:55.318009Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc2ba725c97d8631f8829d0d14f1b431d79d70d0c18c484c3f3407a9010f196f

Aliases

arxiv: 1809.04162 · arxiv_version: 1809.04162v1 · doi: 10.48550/arxiv.1809.04162 · pith_short_12: ZQV2OJOJPWDD · pith_short_16: ZQV2OJOJPWDDD6EC · pith_short_8: ZQV2OJOJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZQV2OJOJPWDDD6ECTUGRJ4NUGH \
  | 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: cc2ba725c97d8631f8829d0d14f1b431d79d70d0c18c484c3f3407a9010f196f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3d3480b3151e9480f7b1cb7964a2c7d1baabde9157284272d3ea7bd88835c6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-11T21:07:16Z",
    "title_canon_sha256": "9ec89a21dcc1ca3ea39f482fb68c04bb905ce420baa7b57a1d445465cb080cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04162",
    "kind": "arxiv",
    "version": 1
  }
}