Pith Number

pith:JSR2C3QN

pith:2000:JSR2C3QNO4URHZ6VWNZL7VOEZH

not attested not anchored not stored refs pending

Parametrizing the mixing matrix : A unified approach

N. Mukunda, S. Chaturvedi

arxiv:hep-ph/0004219 v1 · 2000-04-25 · 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{JSR2C3QNO4URHZ6VWNZL7VOEZH}

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	2026-05-18T01:39:10.039891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca3a16e0d772913e7d5b372bfd5c4c9e2f2dfdf3603858ea40217e9d6065d64

Aliases

arxiv: hep-ph/0004219 · arxiv_version: hep-ph/0004219v1 · doi: 10.48550/arxiv.hep-ph/0004219 · pith_short_12: JSR2C3QNO4UR · pith_short_16: JSR2C3QNO4URHZ6V · pith_short_8: JSR2C3QN

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/JSR2C3QNO4URHZ6VWNZL7VOEZH \
  | 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: 4ca3a16e0d772913e7d5b372bfd5c4c9e2f2dfdf3603858ea40217e9d6065d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e304b8d38fca21d56ca998708e4148e2b76de22dae195d79320cc03ec7e8d6aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-04-25T00:18:36Z",
    "title_canon_sha256": "9d638de216030b9116415084616ab1e685f456e23dc2d0ae139af11299c0fce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0004219",
    "kind": "arxiv",
    "version": 1
  }
}