Pith Number

pith:D7NJX23Z

pith:2024:D7NJX23Z4ZKLQKFWDHWM3IMNRN

not attested not anchored not stored refs pending

Mock modularity of Calabi-Yau threefolds

Khalil Bendriss, Sergei Alexandrov

arxiv:2411.17699 v3 · 2024-11-26 · hep-th · math-ph · math.AG · math.MP · 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{D7NJX23Z4ZKLQKFWDHWM3IMNRN}

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	2026-07-05T10:05:14.913992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fda9beb79e654b828b619eccda18d8b5a92a16b63a38f1802c9a772ff672681

Aliases

arxiv: 2411.17699 · arxiv_version: 2411.17699v3 · doi: 10.48550/arxiv.2411.17699 · pith_short_12: D7NJX23Z4ZKL · pith_short_16: D7NJX23Z4ZKLQKFW · pith_short_8: D7NJX23Z

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/D7NJX23Z4ZKLQKFWDHWM3IMNRN \
  | 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: 1fda9beb79e654b828b619eccda18d8b5a92a16b63a38f1802c9a772ff672681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4d51b99b0bcf5c626132193efed45b1edbd2b0c8f533113553b80eca3ca3c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-11-26T18:59:59Z",
    "title_canon_sha256": "a2e98b7c9afd093da5be10dae4038a90c99dbd1076b1e9925250dc6da5cc23ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17699",
    "kind": "arxiv",
    "version": 3
  }
}