Pith Number

pith:OSI42Z6D

pith:2010:OSI42Z6D43EO4WSGNESQAJTUYO

not attested not anchored not stored refs pending

Perturbed invariant under a cyclic permutation with trace of neutrino mass matrix remain constant

Asan Damanik

arxiv:1009.4080 v2 · 2010-09-21 · 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{OSI42Z6D43EO4WSGNESQAJTUYO}

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	2026-05-18T04:22:31.895142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7491cd67c3e6c8ee5a466925002674c38624870dc3307717c416cb8d140a4fec

Aliases

arxiv: 1009.4080 · arxiv_version: 1009.4080v2 · doi: 10.48550/arxiv.1009.4080 · pith_short_12: OSI42Z6D43EO · pith_short_16: OSI42Z6D43EO4WSG · pith_short_8: OSI42Z6D

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/OSI42Z6D43EO4WSGNESQAJTUYO \
  | 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: 7491cd67c3e6c8ee5a466925002674c38624870dc3307717c416cb8d140a4fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e909799358aa31de43cf0ab6d888703f16c1e1e719ca5594ebcfe55365a3e731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-21T13:03:32Z",
    "title_canon_sha256": "a67fd08a48b9d7aafe18554c2c1491e26ad3842fe9f625ab0e5a0ac2452ea571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4080",
    "kind": "arxiv",
    "version": 2
  }
}