Pith Number

pith:D5UKWQVA

pith:2011:D5UKWQVAUO7RGRAIVH2U7G7TOD

not attested not anchored not stored refs pending

"Hidden" O(2) and SO(2) Symmetry in Lepton Mixing

Julian Heeck, Werner Rodejohann

arxiv:1112.3628 v2 · 2011-12-15 · 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{D5UKWQVAUO7RGRAIVH2U7G7TOD}

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	2026-05-18T04:01:49.304938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f68ab42a0a3bf134408a9f54f9bf370e769b01401039d57b0031eedc42adc94

Aliases

arxiv: 1112.3628 · arxiv_version: 1112.3628v2 · doi: 10.48550/arxiv.1112.3628 · pith_short_12: D5UKWQVAUO7R · pith_short_16: D5UKWQVAUO7RGRAI · pith_short_8: D5UKWQVA

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/D5UKWQVAUO7RGRAIVH2U7G7TOD \
  | 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: 1f68ab42a0a3bf134408a9f54f9bf370e769b01401039d57b0031eedc42adc94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276c40f2eea6ebaaa4a9fddb6cc16747f95affbf31526c128a661b7319baec0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-15T20:00:13Z",
    "title_canon_sha256": "02691dd205c975ea8adb461cb031732c5beb72a11ea1ccc40d103da60ef29cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3628",
    "kind": "arxiv",
    "version": 2
  }
}