Pith Number

pith:H6PKSLUH

pith:2016:H6PKSLUHX7U7ONUQQFWD4MYTPP

not attested not anchored not stored refs pending

The Liouville equation for flavour evolution of neutrinos and neutrino wave packets

Alexei Yu. Smirnov, Rasmus Sloth Lundkvist Hansen

arxiv:1610.00910 v1 · 2016-10-04 · hep-ph · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6PKSLUHX7U7ONUQQFWD4MYTPP}

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	2026-05-18T00:54:28.991717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f9ea92e87bfe9f73690816c3e33137bc7d80af5a7e9ca10521a3a59da4ca0cc

Aliases

arxiv: 1610.00910 · arxiv_version: 1610.00910v1 · doi: 10.48550/arxiv.1610.00910 · pith_short_12: H6PKSLUHX7U7 · pith_short_16: H6PKSLUHX7U7ONUQ · pith_short_8: H6PKSLUH

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/H6PKSLUHX7U7ONUQQFWD4MYTPP \
  | 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: 3f9ea92e87bfe9f73690816c3e33137bc7d80af5a7e9ca10521a3a59da4ca0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db0c83135309bce7e4af924ecbac1791dd70a1176eabeb6519309f8ea9f2e6e",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-10-04T09:32:09Z",
    "title_canon_sha256": "ad70116a897c1380f819881a677c64ddfa459c82f25c70cf4c6782491bd924f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00910",
    "kind": "arxiv",
    "version": 1
  }
}