Pith Number

pith:7YG6OCPL

pith:2009:7YG6OCPLD2H5V6E7ZQAZPEWT6G

not attested not anchored not stored refs pending

On ultra-relativistic approximations, unobservable phases and other hand-waving in the derivation of the neutrino oscillation length

Jean-Michel Levy

arxiv:0901.0408 v1 · 2009-01-05 · 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{7YG6OCPLD2H5V6E7ZQAZPEWT6G}

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.

Cited by

1 paper in Pith

On chirality and chiral neutrino oscillations

Receipt and verification

First computed	2026-07-04T15:35:29.225830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0de709eb1e8fdaf89fcc019792d3f1916338f179d8c571a47ced74533e5297

Aliases

arxiv: 0901.0408 · arxiv_version: 0901.0408v1 · doi: 10.48550/arxiv.0901.0408 · pith_short_12: 7YG6OCPLD2H5 · pith_short_16: 7YG6OCPLD2H5V6E7 · pith_short_8: 7YG6OCPL

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/7YG6OCPLD2H5V6E7ZQAZPEWT6G \
  | 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: fe0de709eb1e8fdaf89fcc019792d3f1916338f179d8c571a47ced74533e5297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efda836a706d986d230c958ba0bf0cc59fc0f0afedf7d861778c61ea79834eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-01-05T15:17:30Z",
    "title_canon_sha256": "3217f5b873d8513c747393a035e1306fcb2495d4fc31d9238922a4d7fbc25970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0408",
    "kind": "arxiv",
    "version": 1
  }
}