Pith Number

pith:KJRG3SK5

pith:2002:KJRG3SK5HM2SJGKLCQOXQTMB3Z

not attested not anchored not stored refs pending

The Problem of Large Leptonic Mixing

Joaquim I. Silva-Marcos

arxiv:hep-ph/0204051 v2 · 2002-04-04 · 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{KJRG3SK5HM2SJGKLCQOXQTMB3Z}

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	2026-05-18T02:36:38.260370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52626dc95d3b3524994b141d784d81de77d216e53150c3ac4c4c2f718fb96602

Aliases

arxiv: hep-ph/0204051 · arxiv_version: hep-ph/0204051v2 · doi: 10.48550/arxiv.hep-ph/0204051 · pith_short_12: KJRG3SK5HM2S · pith_short_16: KJRG3SK5HM2SJGKL · pith_short_8: KJRG3SK5

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/KJRG3SK5HM2SJGKLCQOXQTMB3Z \
  | 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: 52626dc95d3b3524994b141d784d81de77d216e53150c3ac4c4c2f718fb96602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc61cabfee1fb8703285167b4e74de374b5afdba557b53377257f1bf859b5a47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-04-04T14:25:22Z",
    "title_canon_sha256": "ff6c894c7a9102f295c46e138cf94f03008cedc4e275f05f47ef9b8ce3800bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0204051",
    "kind": "arxiv",
    "version": 2
  }
}