Pith Number

pith:3IR3LTW5

pith:2014:3IR3LTW5ZZVV33BHVWVSBRCEKM

not attested not anchored not stored refs pending

The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with $p_g > 0$

Jianxun Hu, Wei-ping Li, Zhenbo Qin

arxiv:1406.2472 v1 · 2014-06-10 · 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{3IR3LTW5ZZVV33BHVWVSBRCEKM}

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	2026-05-18T02:50:01.607724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da23b5ceddce6b5dec27adab20c4445319e4b72f470e6089ed3b82636b1f9a0e

Aliases

arxiv: 1406.2472 · arxiv_version: 1406.2472v1 · doi: 10.48550/arxiv.1406.2472 · pith_short_12: 3IR3LTW5ZZVV · pith_short_16: 3IR3LTW5ZZVV33BH · pith_short_8: 3IR3LTW5

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/3IR3LTW5ZZVV33BHVWVSBRCEKM \
  | 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: da23b5ceddce6b5dec27adab20c4445319e4b72f470e6089ed3b82636b1f9a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61729047779b2dae274565453daa57c062f26d35d5a7d1e16d7711b94e9ed65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-10T09:04:11Z",
    "title_canon_sha256": "6c2a15a340cce34e9adbe3ad2f013738058ef92c165bb580a291c849a98fe5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2472",
    "kind": "arxiv",
    "version": 1
  }
}