Pith Number

pith:AFIWFJTC

pith:2012:AFIWFJTC2REYA7A3HRWCF3K2TO

not attested not anchored not stored refs pending

mu-tau Interchange symmetry and lepton mixing

L. Lavoura, W. Grimus

arxiv:1207.1678 v1 · 2012-07-06 · 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{AFIWFJTC2REYA7A3HRWCF3K2TO}

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	2026-05-18T01:56:33.639049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015162a662d449807c1b3c6c22ed5a9bb8cc1598728c95f8daf7d428da80ff11

Aliases

arxiv: 1207.1678 · arxiv_version: 1207.1678v1 · doi: 10.48550/arxiv.1207.1678 · pith_short_12: AFIWFJTC2REY · pith_short_16: AFIWFJTC2REYA7A3 · pith_short_8: AFIWFJTC

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/AFIWFJTC2REYA7A3HRWCF3K2TO \
  | 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: 015162a662d449807c1b3c6c22ed5a9bb8cc1598728c95f8daf7d428da80ff11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7185749de5b366761630c57f7f0a7288f41c9cb5dbd0ee576eda2b3b467818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-07-06T16:37:10Z",
    "title_canon_sha256": "d2c81fd64f353fb55090988a199f8f1648f47d8b38258774d7a0bddfb4cc3a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1678",
    "kind": "arxiv",
    "version": 1
  }
}