Pith Number

pith:U4M4QOBJ

pith:2000:U4M4QOBJTIUSRCZEVYY632UDV3

not attested not anchored not stored refs pending

Neutrino propagation in matter using the wave packet approach

J. T. Peltoniemi, V. Sipilainen

arxiv:hep-ph/0004162 v1 · 2000-04-17 · 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{U4M4QOBJTIUSRCZEVYY632UDV3}

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	2026-05-18T04:17:45.780398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a719c838299a29288b24ae31edea83aec647f1a95c5bc5469ef63f8ef9b0656d

Aliases

arxiv: hep-ph/0004162 · arxiv_version: hep-ph/0004162v1 · doi: 10.48550/arxiv.hep-ph/0004162 · pith_short_12: U4M4QOBJTIUS · pith_short_16: U4M4QOBJTIUSRCZE · pith_short_8: U4M4QOBJ

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/U4M4QOBJTIUSRCZEVYY632UDV3 \
  | 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: a719c838299a29288b24ae31edea83aec647f1a95c5bc5469ef63f8ef9b0656d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0422432bcbc17ab27c001fb86d77815ad082051655460ccf5082955b32301686",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-04-17T12:03:26Z",
    "title_canon_sha256": "a3f337b33a7b38e358c6ad6e1437079a10dd4507f2445bc870990142590eace6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0004162",
    "kind": "arxiv",
    "version": 1
  }
}