Pith Number

pith:4RTEOINJ

pith:1998:4RTEOINJAAQ3TSPMZKY25FZHND

not attested not anchored not stored refs pending

When the Wavepacket is Unnecessary

L.Stodolsky (MPP, Munich)

arxiv:hep-ph/9802387 v2 · 1998-02-21 · 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{4RTEOINJAAQ3TSPMZKY25FZHND}

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

Neutrino Flavour Waves Through the Quantum Vacuum: A Theory of Oscillations

Receipt and verification

First computed	2026-07-04T15:27:23.849417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4664721a90021b9c9eccab1ae972768f756f94522551ae380f86e95e8fd029d

Aliases

arxiv: hep-ph/9802387 · arxiv_version: hep-ph/9802387v2 · doi: 10.48550/arxiv.hep-ph/9802387 · pith_short_12: 4RTEOINJAAQ3 · pith_short_16: 4RTEOINJAAQ3TSPM · pith_short_8: 4RTEOINJ

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/4RTEOINJAAQ3TSPMZKY25FZHND \
  | 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: e4664721a90021b9c9eccab1ae972768f756f94522551ae380f86e95e8fd029d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333bc279d26da3234e28ee8acb117c610aaaa53bd216d27cea158e992fd152b2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-02-21T13:29:47Z",
    "title_canon_sha256": "52bc5fa1212bfdcafecc73c82f23323291fd29801c0df97af43879ae3899f83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9802387",
    "kind": "arxiv",
    "version": 2
  }
}