Pith Number

pith:3XMFKZKA

pith:2019:3XMFKZKAE6P3Y3JGXOYMJTTP57

not attested not anchored not stored refs pending

Moduli of Curves of Genus One with Twisted Fields

Jingchen Niu, Yi Hu

arxiv:1906.10527 v2 · 2019-06-25 · 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{3XMFKZKAE6P3Y3JGXOYMJTTP57}

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.

Cited by

1 paper in Pith

Higher genus reduced Gromov--Witten invariants via desingularizations of sheaves

Receipt and verification

First computed	2026-07-05T01:21:45.974895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd8556540279fbc6d26bbb0c4ce6fefc2a7d711ed02d5a19bbe8b1246663957

Aliases

arxiv: 1906.10527 · arxiv_version: 1906.10527v2 · doi: 10.48550/arxiv.1906.10527 · pith_short_12: 3XMFKZKAE6P3 · pith_short_16: 3XMFKZKAE6P3Y3JG · pith_short_8: 3XMFKZKA

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/3XMFKZKAE6P3Y3JGXOYMJTTP57 \
  | 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: ddd8556540279fbc6d26bbb0c4ce6fefc2a7d711ed02d5a19bbe8b1246663957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8b7f8660fa524b2ca36f620251c1f55014ca0473edd4120d2937f279a76311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-25T13:48:46Z",
    "title_canon_sha256": "3677bd37e73df7b83c55012eb9dc79c3491c461a9b56e21619a5b2cb0ef306d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10527",
    "kind": "arxiv",
    "version": 2
  }
}