Pith Number

pith:YLM3G3RH

pith:2023:YLM3G3RHRKF4RMGGER7WOB7PCF

not attested not anchored not stored refs pending

Gromov-Witten and Welschinger invariants of del Pezzo varieties

Thi-Ngoc-Anh Nguyen

arxiv:2302.09412 v3 · 2023-02-18 · 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{YLM3G3RHRKF4RMGGER7WOB7PCF}

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	2026-05-20T14:03:16.355110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d9b36e278a8bc8b0c6247f6707ef1155038596df5e397992844fe97e82f9ec

Aliases

arxiv: 2302.09412 · arxiv_version: 2302.09412v3 · doi: 10.48550/arxiv.2302.09412 · pith_short_12: YLM3G3RHRKF4 · pith_short_16: YLM3G3RHRKF4RMGG · pith_short_8: YLM3G3RH

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/YLM3G3RHRKF4RMGGER7WOB7PCF \
  | 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: c2d9b36e278a8bc8b0c6247f6707ef1155038596df5e397992844fe97e82f9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a97f7ffe7eacb4356720ffc3a08443daca64fa591a3739c81ad3628edd27879",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-18T20:01:45Z",
    "title_canon_sha256": "73fad7a13f555992032b969f970f2bc02f7e879577c42458a0ce69431f0fb783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.09412",
    "kind": "arxiv",
    "version": 3
  }
}