Pith Number

pith:IN5IZMPJ

pith:2016:IN5IZMPJJ6EDZE7ULXOYDSE7G2

not attested not anchored not stored refs pending

Geometric phases in neutrino oscillations with nonlinear refraction

George M. Fuller, Lucas Johns

arxiv:1612.06940 v1 · 2016-12-21 · hep-ph · astro-ph.CO · astro-ph.HE · quant-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{IN5IZMPJJ6EDZE7ULXOYDSE7G2}

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	2026-05-18T00:50:17.519347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437a8cb1e94f883c93f45ddd81c89f36b163ec19d6d34607d29b5a2a28023b98

Aliases

arxiv: 1612.06940 · arxiv_version: 1612.06940v1 · doi: 10.48550/arxiv.1612.06940 · pith_short_12: IN5IZMPJJ6ED · pith_short_16: IN5IZMPJJ6EDZE7U · pith_short_8: IN5IZMPJ

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/IN5IZMPJJ6EDZE7ULXOYDSE7G2 \
  | 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: 437a8cb1e94f883c93f45ddd81c89f36b163ec19d6d34607d29b5a2a28023b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a67d369f4be5c6ae0583289e9db33466c45fff1ac71728d1957d2d55a8bd5a2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-12-21T01:32:51Z",
    "title_canon_sha256": "eff61813de26575494439db74bb9dacb5d93fc36e2a3e55596278996ec40c7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06940",
    "kind": "arxiv",
    "version": 1
  }
}