Pith Number

pith:ULPMVR4V

pith:1997:ULPMVR4VQR5SA5JJIFNZBB6ETO

not attested not anchored not stored refs pending

The Kinematics and Dynamics of Flavor Mixing

Harald Fritzsch

arxiv:hep-ph/9710409 v1 · 1997-10-20 · 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{ULPMVR4VQR5SA5JJIFNZBB6ETO}

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	2026-05-18T02:36:59.778045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2decac795847b207529415b9087c49b88578e994c207f5d77f36818b3138f26

Aliases

arxiv: hep-ph/9710409 · arxiv_version: hep-ph/9710409v1 · doi: 10.48550/arxiv.hep-ph/9710409 · pith_short_12: ULPMVR4VQR5S · pith_short_16: ULPMVR4VQR5SA5JJ · pith_short_8: ULPMVR4V

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/ULPMVR4VQR5SA5JJIFNZBB6ETO \
  | 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: a2decac795847b207529415b9087c49b88578e994c207f5d77f36818b3138f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849022201a5b2affb39b54c13bc07ccf84e63a456be09b958cd89a731ef5ae02",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-10-20T12:46:27Z",
    "title_canon_sha256": "a0e63b7c7ef09f6a93c31e1580560e93022726ee0f1985de8fdb5efecf7d7fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9710409",
    "kind": "arxiv",
    "version": 1
  }
}