Pith Number

pith:SGZTHOGR

pith:2024:SGZTHOGRZEITRLJKBZIR3LDRMJ

not attested not anchored not stored refs pending

Unramified Gromov-Witten and Gopakumar-Vafa invariants

Denis Nesterov

arxiv:2405.18398 v2 · 2024-05-28 · math.AG · math-ph · math.MP · 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{SGZTHOGRZEITRLJKBZIR3LDRMJ}

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	2026-07-05T10:03:25.524529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b333b8d1c91138ad2a0e511dac71626ed5ca86d5cc2a31d3b24b4f8e247405

Aliases

arxiv: 2405.18398 · arxiv_version: 2405.18398v2 · doi: 10.48550/arxiv.2405.18398 · pith_short_12: SGZTHOGRZEIT · pith_short_16: SGZTHOGRZEITRLJK · pith_short_8: SGZTHOGR

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/SGZTHOGRZEITRLJKBZIR3LDRMJ \
  | 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: 91b333b8d1c91138ad2a0e511dac71626ed5ca86d5cc2a31d3b24b4f8e247405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836d717dc869cb05cc5064e0945339f7ddbc30db5953819c9c3146f4937db902",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-28T17:36:48Z",
    "title_canon_sha256": "48ec721cf5dc7f37ae20b3782809411c48d452d3d0234c6bd67e27b9662376bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18398",
    "kind": "arxiv",
    "version": 2
  }
}