Pith Number

pith:NEDH66QJ

pith:2025:NEDH66QJSQ7ZU6DOZTLLEKZRPH

not attested not anchored not stored refs pending

CHIC: Caley-Hamilton, Invariants and Constants for Neutrino Oscillation Probabilities and Gradients

Pablo Fern\'andez-Men\'endez

arxiv:2512.16427 v2 · 2025-12-18 · hep-ph · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEDH66QJSQ7ZU6DOZTLLEKZRPH}

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	2026-06-19T16:12:17.163142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69067f7a09943f9a786eccd6b22b3179ed954913a8d17ddc0d67006d7d5e2174

Aliases

arxiv: 2512.16427 · arxiv_version: 2512.16427v2 · doi: 10.48550/arxiv.2512.16427 · pith_short_12: NEDH66QJSQ7Z · pith_short_16: NEDH66QJSQ7ZU6DO · pith_short_8: NEDH66QJ

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/NEDH66QJSQ7ZU6DOZTLLEKZRPH \
  | 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: 69067f7a09943f9a786eccd6b22b3179ed954913a8d17ddc0d67006d7d5e2174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60bc28ee347b7acb1d754f658a6dd09e2b43f3922406cc1a613f33bb84bd6308",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-12-18T11:29:05Z",
    "title_canon_sha256": "f3ec1cc523c5acc149e8218bce375662cc7de85cebfdeb83ab70d2db248f6490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16427",
    "kind": "arxiv",
    "version": 2
  }
}