Pith Number

pith:NMMPMG63

pith:2018:NMMPMG63S44N75TNOGMASTGRO3

not attested not anchored not stored refs pending

Modularity of open-closed GW invariants of $K_{\mathbb{P}^2/\mu_3}$

Yingchun Zhang

arxiv:1811.10743 v1 · 2018-11-26 · math-ph · math.AG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMMPMG63S44N75TNOGMASTGRO3}

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	2026-05-17T23:59:47.661487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b18f61bdb9738dff66d7198094cd176eb2618895ddb6ceb2fcf5cd6f3033e89

Aliases

arxiv: 1811.10743 · arxiv_version: 1811.10743v1 · doi: 10.48550/arxiv.1811.10743 · pith_short_12: NMMPMG63S44N · pith_short_16: NMMPMG63S44N75TN · pith_short_8: NMMPMG63

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/NMMPMG63S44N75TNOGMASTGRO3 \
  | 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: 6b18f61bdb9738dff66d7198094cd176eb2618895ddb6ceb2fcf5cd6f3033e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ecf0635195e63fe394ac02cfeb556f4d0eafe94b956173a23ff8a0d7bc2212",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-26T23:31:51Z",
    "title_canon_sha256": "917a71385446d548ebacc10292bbf86fb00d6e1d9027cefc452b97ff1f6ba615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10743",
    "kind": "arxiv",
    "version": 1
  }
}