Pith Number

pith:OAAY5DNF

pith:2013:OAAY5DNF4IOFGNXYTHHTBX33PH

not attested not anchored not stored refs pending

Renormalization group invariants in neutrino sector

Naoyuki Haba, Ryo Takahashi

arxiv:1306.1375 v3 · 2013-06-06 · 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{OAAY5DNF4IOFGNXYTHHTBX33PH}

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	2026-05-18T01:49:32.049880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70018e8da5e21c5336f899cf30df7b79cdb013c07a4e56dde4d13ac2e8e6e99d

Aliases

arxiv: 1306.1375 · arxiv_version: 1306.1375v3 · doi: 10.48550/arxiv.1306.1375 · pith_short_12: OAAY5DNF4IOF · pith_short_16: OAAY5DNF4IOFGNXY · pith_short_8: OAAY5DNF

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/OAAY5DNF4IOFGNXYTHHTBX33PH \
  | 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: 70018e8da5e21c5336f899cf30df7b79cdb013c07a4e56dde4d13ac2e8e6e99d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a349c9cebcecdfc3f749984d598853fa0c620d21eecfbbcde57536b895ee6db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-06-06T11:21:51Z",
    "title_canon_sha256": "2381cd24fb94a8408dd477c7b4fa557c21f163ee505b0ef0f4394bc03498151d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1375",
    "kind": "arxiv",
    "version": 3
  }
}