Pith Number

pith:MBYPVGUF

pith:2018:MBYPVGUF4GDPK6SU6I2KBSAUSD

not attested not anchored not stored refs pending

Zero-mode product expansions and higher order couplings in gauge backgrounds

Hajime Otsuka, Masaki Honda, Tatsuo Kobayashi

arxiv:1812.03357 v1 · 2018-12-08 · 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{MBYPVGUF4GDPK6SU6I2KBSAUSD}

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

Stringy Constraints on Modular Flavor Models

Receipt and verification

First computed	2026-07-04T23:50:35.685469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6070fa9a85e186f57a54f234a0c81490d5ed7990bce214ffaf2ed4a5339e7edf

Aliases

arxiv: 1812.03357 · arxiv_version: 1812.03357v1 · doi: 10.48550/arxiv.1812.03357 · pith_short_12: MBYPVGUF4GDP · pith_short_16: MBYPVGUF4GDPK6SU · pith_short_8: MBYPVGUF

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/MBYPVGUF4GDPK6SU6I2KBSAUSD \
  | 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: 6070fa9a85e186f57a54f234a0c81490d5ed7990bce214ffaf2ed4a5339e7edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb695cabdae2e846140b055bd96e4e75af20059e337f36b146f875e159ca589",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-12-08T17:43:28Z",
    "title_canon_sha256": "fe8bac4862ca513e8bc7162cc7be0da342e2dbb68e864ab72224e0689d89a616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03357",
    "kind": "arxiv",
    "version": 1
  }
}