Pith Number

pith:RYR6QII7

pith:2018:RYR6QII7ZLWN3PORVY4DP2JVMK

not attested not anchored not stored refs pending

Liouville term for neutrinos: Flavor structure and wave interpretation

Georg Raffelt, G\"unter Sigl, Tobias Stirner

arxiv:1803.04693 v1 · 2018-03-13 · hep-ph · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYR6QII7ZLWN3PORVY4DP2JVMK}

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	2026-05-18T00:16:36.316467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e23e8211fcaecddbdd1ae3837e93562abb11844cdc38d9b0a744a45c9ff7776

Aliases

arxiv: 1803.04693 · arxiv_version: 1803.04693v1 · doi: 10.48550/arxiv.1803.04693 · pith_short_12: RYR6QII7ZLWN · pith_short_16: RYR6QII7ZLWN3POR · pith_short_8: RYR6QII7

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/RYR6QII7ZLWN3PORVY4DP2JVMK \
  | 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: 8e23e8211fcaecddbdd1ae3837e93562abb11844cdc38d9b0a744a45c9ff7776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58c94282b8fda1cf78b85e03713158b308b51efb6d999d18f27804234665a5d",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-03-13T09:21:11Z",
    "title_canon_sha256": "499427780aa7b984983913ee6f4fee8f37c5073d7e0d1e9aacd54e976a06cd25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04693",
    "kind": "arxiv",
    "version": 1
  }
}