pith. sign in
Pith Number

pith:XVCXT57U

pith:2015:XVCXT57UXV4HSHHVT6SAFX5HJM
not attested not anchored not stored refs pending

Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

Giuseppe Vitiello, Mairi Sakellariadou, Maria Vittoria Gargiulo

arxiv:1502.02919 v1 · 2015-02-10 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XVCXT57UXV4HSHHVT6SAFX5HJM}

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 2026-05-18T02:27:30.389619Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd4579f7f4bd78791cf59fa402dfa74b1af95fdbbee30128fa25caf2878b10dd

Aliases

arxiv: 1502.02919 · arxiv_version: 1502.02919v1 · doi: 10.48550/arxiv.1502.02919 · pith_short_12: XVCXT57UXV4H · pith_short_16: XVCXT57UXV4HSHHV · pith_short_8: XVCXT57U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVCXT57UXV4HSHHVT6SAFX5HJM \
  | 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: bd4579f7f4bd78791cf59fa402dfa74b1af95fdbbee30128fa25caf2878b10dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd85513c9696742c9336ce8e7a4f4e88f308db84d095451712a27d03434db7ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-02-10T14:31:36Z",
    "title_canon_sha256": "eafafe6e1648356639809fee8a7b7d4aa52fa96b45014746f67523f4905d36a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02919",
    "kind": "arxiv",
    "version": 1
  }
}