Pith Number

pith:MKIXMVIH

pith:2001:MKIXMVIHUHQ4SPP24SVJYSIHNR

not attested not anchored not stored refs pending

Effects of random matter density fluctuations on the neutrino oscillation transition probabilities in the Earth

Bjorn Jacobsson, Hakan Snellman, Tommy Ohlsson, Walter Winter

arxiv:hep-ph/0112138 v2 · 2001-12-10 · 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{MKIXMVIHUHQ4SPP24SVJYSIHNR}

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

Effects of the Matter Potential at One-Loop Level on Neutrino Oscillations in Long-Baseline Experiments

Receipt and verification

First computed	2026-07-04T16:27:42.843430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab

Aliases

arxiv: hep-ph/0112138 · arxiv_version: hep-ph/0112138v2 · doi: 10.48550/arxiv.hep-ph/0112138 · pith_short_12: MKIXMVIHUHQ4 · pith_short_16: MKIXMVIHUHQ4SPP2 · pith_short_8: MKIXMVIH

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/MKIXMVIHUHQ4SPP24SVJYSIHNR \
  | 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: 6291765507a1e1c93dfae4aa9c49076c7a6fe5ea4760ebc4e0dffa30b24e19ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b127697c759088631c2b518a8143de5a74ba37852eb008684d131fb4cdb19501",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-12-10T17:30:30Z",
    "title_canon_sha256": "2c319e57d560302415115a0d85438487dde40c44b16f9b1aef3cb311e8a21b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0112138",
    "kind": "arxiv",
    "version": 2
  }
}