Pith Number

pith:5AWYSESD

pith:2024:5AWYSESDOFC56WYR6O6MEXWDDN

not attested not anchored not stored refs pending

Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications

Hajime Otsuka, Keiya Ishiguro, Satsuki Nishimura, Tatsuo Kobayashi

arxiv:2402.13563 v1 · 2024-02-21 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AWYSESDOFC56WYR6O6MEXWDDN}

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

1 paper in Pith

Inflationary constraints on the moduli-dependent species scale in modular invariant theories

Receipt and verification

First computed	2026-07-05T07:47:34.191740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82d8912437145df5b11f3bcc25ec31b7c90eb0e8330201a536563b3c00e6e8d

Aliases

arxiv: 2402.13563 · arxiv_version: 2402.13563v1 · doi: 10.48550/arxiv.2402.13563 · pith_short_12: 5AWYSESDOFC5 · pith_short_16: 5AWYSESDOFC56WYR · pith_short_8: 5AWYSESD

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/5AWYSESDOFC56WYR6O6MEXWDDN \
  | 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: e82d8912437145df5b11f3bcc25ec31b7c90eb0e8330201a536563b3c00e6e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a751cc9a587996ea11c9b782ba635d8079b15fecde0910234bb05ddf9e908d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-02-21T06:39:56Z",
    "title_canon_sha256": "98b66928df8f264776297b9893a2c347cb0e7fd13033846bcafc5170e11e8ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.13563",
    "kind": "arxiv",
    "version": 1
  }
}