Pith Number

pith:HSQMUP22

pith:2026:HSQMUP22MZY4IMF2IKUQRTAKIW

not attested not anchored not stored refs pending

Collective neutrino oscillations: Many-body non-forward effects and non-classicality

Costin Iancu, Ermal Rrapaj, Gushu Li, Julien Froustey, Vincenzo Cirigliano, Yuhao Liu

arxiv:2606.12404 v1 · 2026-06-10 · hep-ph · astro-ph.HE · quant-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{HSQMUP22MZY4IMF2IKUQRTAKIW}

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	2026-06-11T02:09:49.952973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca0ca3f5a6671c430ba42a908cc0a45a164c5a0a94d6d3c62cece41e0a03096

Aliases

arxiv: 2606.12404 · arxiv_version: 2606.12404v1 · doi: 10.48550/arxiv.2606.12404 · pith_short_12: HSQMUP22MZY4 · pith_short_16: HSQMUP22MZY4IMF2 · pith_short_8: HSQMUP22

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/HSQMUP22MZY4IMF2IKUQRTAKIW \
  | 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: 3ca0ca3f5a6671c430ba42a908cc0a45a164c5a0a94d6d3c62cece41e0a03096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eeb32cbeab77c6fea1690ca70f0478956e01d6f65f57df5e42a9f367530276d",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-10T17:59:12Z",
    "title_canon_sha256": "7e2ba28fb945749088340c2a83f5dbe241b57a32695b5477373eeb381f1f3de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12404",
    "kind": "arxiv",
    "version": 1
  }
}