Pith Number

pith:XLC3MSNB

pith:2022:XLC3MSNBIR7K2NZRVMRGZQH6XS

not attested not anchored not stored refs pending

On the Morita invariance of Categorical Enumerative Invariants

Junwu Tu, Lino Amorim

arxiv:2209.02744 v2 · 2022-09-06 · math.AG · math.KT · 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{XLC3MSNBIR7K2NZRVMRGZQH6XS}

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

2 papers in Pith

B-model Categorical Enumerative Invariants and holomorphic anomaly equations

Open-closed Deligne-Mumford field theories: construction

Receipt and verification

First computed	2026-07-05T11:05:30.849614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac5b649a1447ead3731ab226cc0febca33d452e5e5089fcb84f2c09e6f28df7

Aliases

arxiv: 2209.02744 · arxiv_version: 2209.02744v2 · doi: 10.48550/arxiv.2209.02744 · pith_short_12: XLC3MSNBIR7K · pith_short_16: XLC3MSNBIR7K2NZR · pith_short_8: XLC3MSNB

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/XLC3MSNBIR7K2NZRVMRGZQH6XS \
  | 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: bac5b649a1447ead3731ab226cc0febca33d452e5e5089fcb84f2c09e6f28df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fb7a4e1a1a9b9c2cf6ed581c7f4fe876153e80889fa838c0212cb92de1052d",
    "cross_cats_sorted": [
      "math.KT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-06T18:04:39Z",
    "title_canon_sha256": "61ed2a4f6de2332963a5d79f04f7444e65428dd84dd22923f480d5e95a7bfcbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.02744",
    "kind": "arxiv",
    "version": 2
  }
}