Pith Number

pith:PEPI4PK7

pith:2004:PEPI4PK75DMZBO5WHOBIFRENNH

not attested not anchored not stored refs pending

Leptonic Unitarity Triangles in Matter

He Zhang, Zhi-zhong Xing

arxiv:hep-ph/0411183 v2 · 2004-11-13 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEPI4PK75DMZBO5WHOBIFRENNH}

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	2026-05-18T04:13:27.848660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791e8e3d5fe8d990bbb63b8282c48d69df6f771ffd4db1807a471cc51560dd0a

Aliases

arxiv: hep-ph/0411183 · arxiv_version: hep-ph/0411183v2 · doi: 10.48550/arxiv.hep-ph/0411183 · pith_short_12: PEPI4PK75DMZ · pith_short_16: PEPI4PK75DMZBO5W · pith_short_8: PEPI4PK7

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/PEPI4PK75DMZBO5WHOBIFRENNH \
  | 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: 791e8e3d5fe8d990bbb63b8282c48d69df6f771ffd4db1807a471cc51560dd0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb43e2eec99f9330808f649523b93998cdad2a1b72c2ffb61c58b77101dfe307",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-11-13T09:35:32Z",
    "title_canon_sha256": "46b16d85ed21cacbcfea6502307115c002970ca30cd73cf8ff707d5839fdbe46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0411183",
    "kind": "arxiv",
    "version": 2
  }
}