Pith Number

pith:O7I2HWLR

pith:2026:O7I2HWLRQ5ZORG24KW7CXMQU4G

not attested not anchored not stored refs pending

Involution-equivariant topological recursion and mirror symmetry for the affine binary dihedral Calabi--Yau threefold

Bohan Fang, Jingxiang Ma, Zhuoming Lan

arxiv:2607.07355 v1 · 2026-07-08 · math.AG · math-ph · 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{O7I2HWLRQ5ZORG24KW7CXMQU4G}

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	2026-07-09T01:20:22.460387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d1a3d9718772e89b5c55be2bb214e1ba00d4a6e4b373b2151da81680633736

Aliases

arxiv: 2607.07355 · arxiv_version: 2607.07355v1 · doi: 10.48550/arxiv.2607.07355 · pith_short_12: O7I2HWLRQ5ZO · pith_short_16: O7I2HWLRQ5ZORG24 · pith_short_8: O7I2HWLR

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/O7I2HWLRQ5ZORG24KW7CXMQU4G \
  | 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: 77d1a3d9718772e89b5c55be2bb214e1ba00d4a6e4b373b2151da81680633736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6843278797cccd7e45fbb6c43ba8c73fd0a88e903cb4155e5c842753e43420f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-08T12:48:47Z",
    "title_canon_sha256": "708ed69be736ab04221068a21b81b725fbb50298817c5eb9aa5210908aa8c604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07355",
    "kind": "arxiv",
    "version": 1
  }
}