Pith Number

pith:7NNLZUMG

pith:2001:7NNLZUMGX2NC2TAWGLI6RFYK5Z

not attested not anchored not stored refs pending

Physics of Synchronized Neutrino Oscillations Caused by Self-Interactions

D.V. Semikoz, G.G. Raffelt, S. Pastor

arxiv:hep-ph/0109035 v3 · 2001-09-05 · hep-ph · astro-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{7NNLZUMGX2NC2TAWGLI6RFYK5Z}

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	2026-05-18T01:06:14.677246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5abcd186be9a2d4c1632d1e8970aee70e7a0b3aa48cc852729a8f82e042f15

Aliases

arxiv: hep-ph/0109035 · arxiv_version: hep-ph/0109035v3 · doi: 10.48550/arxiv.hep-ph/0109035 · pith_short_12: 7NNLZUMGX2NC · pith_short_16: 7NNLZUMGX2NC2TAW · pith_short_8: 7NNLZUMG

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/7NNLZUMGX2NC2TAWGLI6RFYK5Z \
  | 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: fb5abcd186be9a2d4c1632d1e8970aee70e7a0b3aa48cc852729a8f82e042f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc06d724156852ebaeeb672fb052c63b1590ccd44abda94a8ab354b40e2f924a",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-05T11:55:00Z",
    "title_canon_sha256": "1e4fc156c77bbef88deabdfacfc3a28325dddb7cc641ccb88f30cdf117e58f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109035",
    "kind": "arxiv",
    "version": 3
  }
}