Pith Number

pith:MW6KUUYR

pith:2011:MW6KUUYRB6NDD5OKME732OMKFL

not attested not anchored not stored refs pending

Phenomenology of neutrino mixing in vacuum and matter

A. Upadhyay, M. Batra

arxiv:1112.0445 v1 · 2011-12-02 · 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{MW6KUUYRB6NDD5OKME732OMKFL}

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	2026-05-18T03:33:48.153466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895

Aliases

arxiv: 1112.0445 · arxiv_version: 1112.0445v1 · doi: 10.48550/arxiv.1112.0445 · pith_short_12: MW6KUUYRB6ND · pith_short_16: MW6KUUYRB6NDD5OK · pith_short_8: MW6KUUYR

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/MW6KUUYRB6NDD5OKME732OMKFL \
  | 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: 65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af4366d28b20739e31090199e15daa5e652c53a194bb7621b27fa2826f6aa11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-02T12:25:39Z",
    "title_canon_sha256": "1c30acd028f540aabadd756e2457b2e37068ad5e1c03bce9b67acc9605387e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0445",
    "kind": "arxiv",
    "version": 1
  }
}