Pith Number

pith:T22PPZNB

pith:2007:T22PPZNBTO2EUKI46IGNCQ5NJM

not attested not anchored not stored refs pending

Adiabaticity and spectral splits in collective neutrino transformations

Alexei Yu. Smirnov, Georg G. Raffelt

arxiv:0709.4641 v1 · 2007-09-28 · hep-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{T22PPZNBTO2EUKI46IGNCQ5NJM}

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.

Cited by

1 paper in Pith

Singular Perturbations of Hamilton-Jacobi Equations in the Wasserstein Space

Receipt and verification

First computed	2026-07-04T15:27:48.348033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb4f7e5a19bb44a291cf20cd143ad4b02863a9202f0ee399194c8f6bb5382ea

Aliases

arxiv: 0709.4641 · arxiv_version: 0709.4641v1 · doi: 10.48550/arxiv.0709.4641 · pith_short_12: T22PPZNBTO2E · pith_short_16: T22PPZNBTO2EUKI4 · pith_short_8: T22PPZNB

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/T22PPZNBTO2EUKI46IGNCQ5NJM \
  | 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: 9eb4f7e5a19bb44a291cf20cd143ad4b02863a9202f0ee399194c8f6bb5382ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a20bff778484ef0ee24143721c33c93d6cb35c9056aea3e3db37ca41dda0dc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-09-28T15:58:38Z",
    "title_canon_sha256": "a80a073fd617555dd2624f2cdc545a345c49c1d436fc752a2adb9db4836e220d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4641",
    "kind": "arxiv",
    "version": 1
  }
}