Pith Number

pith:4MDD7JGG

pith:2008:4MDD7JGG3Q7ZSYCOETMTENSBJU

not attested not anchored not stored refs pending

A complex-angle rotation and geometric complementarity in fermion mixing

Kee-Hwan Nam, Kim Siyeon, Seungsu Hwang

arxiv:0808.0788 v1 · 2008-08-06 · 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{4MDD7JGG3Q7ZSYCOETMTENSBJU}

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	2026-05-18T04:14:36.444967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3063fa4c6dc3f99604e24d93236414d04711c46b065d1d1bd0c1f134d39bb7b

Aliases

arxiv: 0808.0788 · arxiv_version: 0808.0788v1 · doi: 10.48550/arxiv.0808.0788 · pith_short_12: 4MDD7JGG3Q7Z · pith_short_16: 4MDD7JGG3Q7ZSYCO · pith_short_8: 4MDD7JGG

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/4MDD7JGG3Q7ZSYCOETMTENSBJU \
  | 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: e3063fa4c6dc3f99604e24d93236414d04711c46b065d1d1bd0c1f134d39bb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced783d830ae32c82c39e8d4ec94369f9cbf381c75f57b29c439f7a9e9201e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-08-06T07:38:21Z",
    "title_canon_sha256": "0c2809a00a6d7b32d9e206ba2acb3a046254d4084a00444964eee97bc78ddefb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0788",
    "kind": "arxiv",
    "version": 1
  }
}