Pith Number

pith:7ORHG27X

pith:2011:7ORHG27XTN7WK4RKR7QMSHD3RO

not attested not anchored not stored refs pending

Invariants of Collective Neutrino Oscillations

A. B. Balantekin, Takashi Yoshida, Toshitaka Kajino, Y. Pehlivan

arxiv:1105.1182 v2 · 2011-05-05 · astro-ph.CO · hep-ph · math-ph · math.MP · 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{7ORHG27XTN7WK4RKR7QMSHD3RO}

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	2026-05-18T02:02:03.572004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba2736bf79b7f65722a8fe0c91c7b8bbbb6fd2ea948eeb2241a053996ce9527

Aliases

arxiv: 1105.1182 · arxiv_version: 1105.1182v2 · doi: 10.48550/arxiv.1105.1182 · pith_short_12: 7ORHG27XTN7W · pith_short_16: 7ORHG27XTN7WK4RK · pith_short_8: 7ORHG27X

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/7ORHG27XTN7WK4RKR7QMSHD3RO \
  | 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: fba2736bf79b7f65722a8fe0c91c7b8bbbb6fd2ea948eeb2241a053996ce9527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1250ebbadd6563187dc30322ba6d5d9f2a8632aba15f4e8ee1d969e148b747",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-05T22:09:31Z",
    "title_canon_sha256": "c786ec72175e53fd7de2537bb702097701b3816b7289b5eef11c984601f68308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1182",
    "kind": "arxiv",
    "version": 2
  }
}