Pith Number

pith:4XJ2CQHG

pith:2026:4XJ2CQHGKMK5PFD6TPNAPXKSIH

not attested not anchored not stored refs pending

Fermion Mixing Matrices and the Exceptional Jordan Algebra

Bishnu Gupta Teli, Tejinder P. Singh

arxiv:2607.00412 v1 · 2026-07-01 · 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{4XJ2CQHGKMK5PFD6TPNAPXKSIH}

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	2026-07-02T01:17:42.676754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d3a140e65315d7947e9bda07dd5241edb55657408f2bcc3be2ef9c5f6c00a7

Aliases

arxiv: 2607.00412 · arxiv_version: 2607.00412v1 · doi: 10.48550/arxiv.2607.00412 · pith_short_12: 4XJ2CQHGKMK5 · pith_short_16: 4XJ2CQHGKMK5PFD6 · pith_short_8: 4XJ2CQHG

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/4XJ2CQHGKMK5PFD6TPNAPXKSIH \
  | 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: e5d3a140e65315d7947e9bda07dd5241edb55657408f2bcc3be2ef9c5f6c00a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35cfc3e54ec7207dc903c29516d091452994febcf62ca61c1a66e9108835362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-01T04:13:22Z",
    "title_canon_sha256": "bb1ecdadd48c8783fc6c6ad365476e9ee25521acc74e3dddbf0105e903cb7a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00412",
    "kind": "arxiv",
    "version": 1
  }
}