Pith Number

pith:WE26N6YE

pith:2001:WE26N6YEUBILOCLVV64OO4WRR6

not attested not anchored not stored refs pending

CP violation and modular symmetries

Thomas Dent

arxiv:hep-ph/0105285 v2 · 2001-05-27 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WE26N6YEUBILOCLVV64OO4WRR6}

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

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-05-18T02:36:47.030190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b135e6fb04a050b70975afb8e772d18fa149168cbeecc7cad794c8052d911fa5

Aliases

arxiv: hep-ph/0105285 · arxiv_version: hep-ph/0105285v2 · doi: 10.48550/arxiv.hep-ph/0105285 · pith_short_12: WE26N6YEUBIL · pith_short_16: WE26N6YEUBILOCLV · pith_short_8: WE26N6YE

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/WE26N6YEUBILOCLVV64OO4WRR6 \
  | 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: b135e6fb04a050b70975afb8e772d18fa149168cbeecc7cad794c8052d911fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2e5f895172d91c6385ebe708883f8a8631349e7d5ae7174376a2ba80fa8c95",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-05-27T23:43:56Z",
    "title_canon_sha256": "2464c47c0b5310422d17f60e05c8efe6cebf2e4e96cfcf9ef4864096c53e8e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0105285",
    "kind": "arxiv",
    "version": 2
  }
}