Pith Number

pith:56QY2FQ5

pith:2011:56QY2FQ5AEGZQUPFD4YCNIZLJI

not attested not anchored not stored refs pending

The Mass Spectrum of Neutrinos

E. Capelas de Oliveira, J. Vaz Jr, W. A. Rodrigues Jr.

arxiv:1110.5040 v2 · 2011-10-23 · math-ph · hep-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56QY2FQ5AEGZQUPFD4YCNIZLJI}

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	2026-05-18T02:52:42.436833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa18d161d010d9851e51f3026a32b4a3e416e93743ebf7f9ae55a159024a435

Aliases

arxiv: 1110.5040 · arxiv_version: 1110.5040v2 · doi: 10.48550/arxiv.1110.5040 · pith_short_12: 56QY2FQ5AEGZ · pith_short_16: 56QY2FQ5AEGZQUPF · pith_short_8: 56QY2FQ5

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/56QY2FQ5AEGZQUPFD4YCNIZLJI \
  | 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: efa18d161d010d9851e51f3026a32b4a3e416e93743ebf7f9ae55a159024a435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4b4a7b0c817e1aee8b3a681cbe9fd6e51d6d8aebddbbc0ad733e8b5a83b764",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-23T13:12:49Z",
    "title_canon_sha256": "2113311cb0c732123806dd07320741dc8dd089baad94272b2e0cdddd8d4a9d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5040",
    "kind": "arxiv",
    "version": 2
  }
}