pith. sign in
Pith Number

pith:I653LONE

pith:2014:I653LONE7I5HDX7SLCADTSDSGK
not attested not anchored not stored refs pending

Multipole expansion method for supernova neutrino oscillations

Huaiyu Duan, Shashank Shalgar

arxiv:1407.7861 v2 · 2014-07-29 · hep-ph · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I653LONE7I5HDX7SLCADTSDSGK}

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 2026-05-18T02:30:31.792983Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

47bbb5b9a4fa3a71dff2588039c87232a23041ca5f49b857f69496dc5e37e48f

Aliases

arxiv: 1407.7861 · arxiv_version: 1407.7861v2 · doi: 10.48550/arxiv.1407.7861 · pith_short_12: I653LONE7I5H · pith_short_16: I653LONE7I5HDX7S · pith_short_8: I653LONE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I653LONE7I5HDX7SLCADTSDSGK \
  | 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: 47bbb5b9a4fa3a71dff2588039c87232a23041ca5f49b857f69496dc5e37e48f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a079f5b415446212f601108eb20a9602df8c1410cc41ef27abf1ab1930247109",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-07-29T20:00:23Z",
    "title_canon_sha256": "fc13023612e4fe4ac87410f5b8dd98c931f98a78cdc2d2e70485a25aaedb324d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7861",
    "kind": "arxiv",
    "version": 2
  }
}