Pith Number

pith:53SJYY5C

pith:2016:53SJYY5CYMMCTHIIOKB27ND3NB

not attested not anchored not stored refs pending

Renormalisation Group Corrections to Neutrino Mixing Sum Rules

A. V. Titov, J. Gehrlein, M. Spinrath, S. T. Petcov

arxiv:1608.08409 v2 · 2016-08-30 · 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{53SJYY5CYMMCTHIIOKB27ND3NB}

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	2026-05-18T00:56:45.564369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee49c63a2c318299d087283afb47b6840bf30dbeab62660b9473776ae15fa3d

Aliases

arxiv: 1608.08409 · arxiv_version: 1608.08409v2 · doi: 10.48550/arxiv.1608.08409 · pith_short_12: 53SJYY5CYMMC · pith_short_16: 53SJYY5CYMMCTHII · pith_short_8: 53SJYY5C

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/53SJYY5CYMMCTHIIOKB27ND3NB \
  | 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: eee49c63a2c318299d087283afb47b6840bf30dbeab62660b9473776ae15fa3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52511659f7f5df80b9572e03b0850202fe1f3f58c37cb753234e6fa0e674e8ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-08-30T11:47:48Z",
    "title_canon_sha256": "f0ac8c894cb734b1efd5f4d7e58dc32d9f215302645575b8bfeaae983f668c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08409",
    "kind": "arxiv",
    "version": 2
  }
}