Pith Number

pith:NMW7IRA5

pith:2018:NMW7IRA5F4REQFJVHMDVZJ7OQK

not attested not anchored not stored refs pending

Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter

Peter B. Denton, Stephen J. Parke, Xining Zhang

arxiv:1806.01277 v2 · 2018-06-04 · 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{NMW7IRA5F4REQFJVHMDVZJ7OQK}

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

Sterile-active resonance: A global qualitative picture

Receipt and verification

First computed	2026-05-18T00:08:14.724621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2df4441d2f224815353b075ca7ee82a0d08fc88048d4261a67ca8a577acf6f

Aliases

arxiv: 1806.01277 · arxiv_version: 1806.01277v2 · doi: 10.48550/arxiv.1806.01277 · pith_short_12: NMW7IRA5F4RE · pith_short_16: NMW7IRA5F4REQFJV · pith_short_8: NMW7IRA5

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/NMW7IRA5F4REQFJVHMDVZJ7OQK \
  | 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: 6b2df4441d2f224815353b075ca7ee82a0d08fc88048d4261a67ca8a577acf6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95f5cdc93db90f46cdd1b0d87d75f631eadf7c39df7c527df12fe90798af19a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-06-04T18:00:00Z",
    "title_canon_sha256": "9cf1d776c869b5fbb76650ba129de0810077f956c7bb25ee0b33e103fd24388f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01277",
    "kind": "arxiv",
    "version": 2
  }
}