Pith Number

pith:CDGKA7M3

pith:2024:CDGKA7M33SEBY5ACSRNM3Z6OEH

not attested not anchored not stored refs pending

Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds

Boris Pioline, Charles Doran, Thorsten Schimannek

arxiv:2408.02994 v1 · 2024-08-06 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDGKA7M33SEBY5ACSRNM3Z6OEH}

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	2026-07-05T08:52:43.853226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10cca07d9bdc881c7402945acde7ce21c6da0f2289e4ae481f4eece8b4138568

Aliases

arxiv: 2408.02994 · arxiv_version: 2408.02994v1 · doi: 10.48550/arxiv.2408.02994 · pith_short_12: CDGKA7M33SEB · pith_short_16: CDGKA7M33SEBY5AC · pith_short_8: CDGKA7M3

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/CDGKA7M33SEBY5ACSRNM3Z6OEH \
  | 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: 10cca07d9bdc881c7402945acde7ce21c6da0f2289e4ae481f4eece8b4138568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda43db9f05c8897a3e5c6637f8f5384623bcca02edbb737af6db2f8bc52dd31",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-08-06T07:00:44Z",
    "title_canon_sha256": "e080ad5c6f0c3c9bf8e78c0a2a88a8121355f5717afa2af6cdc5b93610a052db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02994",
    "kind": "arxiv",
    "version": 1
  }
}