Pith Number

pith:PSAUMKT2

pith:2025:PSAUMKT2VJ47R5NQZ6KOF4CGUJ

not attested not anchored not stored refs pending

Gromov-Witten theory of $\mathsf{Hilb}^n(\mathbb{C}^2)$ and Noether-Lefschetz theory of $\mathcal{A}_g$

Aitor Iribar Lopez, Hsian-Hua Tseng, Rahul Pandharipande

arxiv:2506.12438 v2 · 2025-06-14 · 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{PSAUMKT2VJ47R5NQZ6KOF4CGUJ}

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	2026-07-05T12:02:02.707304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c81462a7aaa79f8f5b0cf94e2f046a24657d2806cc9f4fbdbe49251822b98b8

Aliases

arxiv: 2506.12438 · arxiv_version: 2506.12438v2 · doi: 10.48550/arxiv.2506.12438 · pith_short_12: PSAUMKT2VJ47 · pith_short_16: PSAUMKT2VJ47R5NQ · pith_short_8: PSAUMKT2

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/PSAUMKT2VJ47R5NQZ6KOF4CGUJ \
  | 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: 7c81462a7aaa79f8f5b0cf94e2f046a24657d2806cc9f4fbdbe49251822b98b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819dc9f182ce40b2fb1097663bfe9f2b06ac92b8765506da7dea99449c54e35d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-14T10:28:29Z",
    "title_canon_sha256": "86e3b91b541a26d22e8fe7ae521ca8d324e99dde0f7dd6989b82520cbac6f3ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12438",
    "kind": "arxiv",
    "version": 2
  }
}