Pith Number

pith:BS3MYFRQ

pith:2021:BS3MYFRQN5UQG5NBMMRAYHB2HH

not attested not anchored not stored refs pending

The $u$-plane integral, mock modularity and enumerative geometry

Elias Furrer, Georgios Korpas, Johannes Aspman, Meng-Chwan Tan, Zhi-Cong Ong

arxiv:2109.04302 v2 · 2021-09-09 · hep-th · math.AG · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BS3MYFRQN5UQG5NBMMRAYHB2HH}

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	2026-07-05T04:12:02.440632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb6cc16306f690375a163220c1c3a39d918d31d8c21b92298aa0ced2c7a35fd

Aliases

arxiv: 2109.04302 · arxiv_version: 2109.04302v2 · doi: 10.48550/arxiv.2109.04302 · pith_short_12: BS3MYFRQN5UQ · pith_short_16: BS3MYFRQN5UQG5NB · pith_short_8: BS3MYFRQ

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/BS3MYFRQN5UQG5NBMMRAYHB2HH \
  | 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: 0cb6cc16306f690375a163220c1c3a39d918d31d8c21b92298aa0ced2c7a35fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e1f900395e7103f57be17386a52cd233e937c04ef145e6a2bb603bb354fa2e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-09T14:27:15Z",
    "title_canon_sha256": "58aad8360eaf479d431fb792ce11cecc9c1d587a55f184fe2d5b23b6a5076f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04302",
    "kind": "arxiv",
    "version": 2
  }
}