Pith Number

pith:5VGPSSWW

pith:2015:5VGPSSWW62W6KNURNL74W26MRZ

not attested not anchored not stored refs pending

Collective neutrino oscillations and spontaneous symmetry breaking

Huaiyu Duan (UNM)

arxiv:1506.08629 v1 · 2015-06-29 · hep-ph · astro-ph.HE · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VGPSSWW62W6KNURNL74W26MRZ}

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	2026-05-18T01:33:31.931288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af

Aliases

arxiv: 1506.08629 · arxiv_version: 1506.08629v1 · doi: 10.48550/arxiv.1506.08629 · pith_short_12: 5VGPSSWW62W6 · pith_short_16: 5VGPSSWW62W6KNUR · pith_short_8: 5VGPSSWW

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/5VGPSSWW62W6KNURNL74W26MRZ \
  | 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: ed4cf94ad6f6ade536916affcb6bcc8e69d4e5a8d9f5cbb045ce4353d08495af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef927e7ab52a38d62e0aae0addc46a427e083bd532efe65dbc44e6b5c753713",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-06-29T13:58:48Z",
    "title_canon_sha256": "1c7ae41d57ef162a090a68f74e87c5cb266bb929810b840f35bbfface7896bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08629",
    "kind": "arxiv",
    "version": 1
  }
}