pith. sign in
Pith Number

pith:PO3ZRI7J

pith:2013:PO3ZRI7JT5NVCDMW4OXF2JXY3I
not attested not anchored not stored refs pending

Spreading of wave packets for neutrino oscillations in vacuum

C. J. Quimbay, Y. F. Perez

arxiv:1304.4186 v4 · 2013-04-15 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PO3ZRI7JT5NVCDMW4OXF2JXY3I}

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 2026-05-18T03:02:57.307625Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7bb798a3e99f5b510d96e3ae5d26f8da07403b911743266087cfb11316551dc5

Aliases

arxiv: 1304.4186 · arxiv_version: 1304.4186v4 · doi: 10.48550/arxiv.1304.4186 · pith_short_12: PO3ZRI7JT5NV · pith_short_16: PO3ZRI7JT5NVCDMW · pith_short_8: PO3ZRI7J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PO3ZRI7JT5NVCDMW4OXF2JXY3I \
  | 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: 7bb798a3e99f5b510d96e3ae5d26f8da07403b911743266087cfb11316551dc5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5ee264e39efdd2faf3d997c5628ac95e4578331d56c93af8b366a8ba07400230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-04-15T17:53:11Z",
    "title_canon_sha256": "2e38e60a1f8ca679be9cc04a4302f55c48d35b154024d1f0491f0e85137cde98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4186",
    "kind": "arxiv",
    "version": 4
  }
}