Pith Number

pith:FKPGPFUM

pith:1999:FKPGPFUM7T4WDFUJCTDC57N2ZR

not attested not anchored not stored refs pending

The Nielsen Identities of the SM and the definition of mass

(2) Max-Planck-Inst. Munich), Paolo Gambino (1), Pietro Antonio Grassi (2) ((1) Tech. Univ. Munich

arxiv:hep-ph/9907254 v3 · 1999-07-06 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKPGPFUM7T4WDFUJCTDC57N2ZR}

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.

Cited by

2 papers in Pith

Gauge-Invariant Off-Shell Mass

Renormalization of mixing angles and computation of the hadronic $W$ decay widths

Receipt and verification

First computed	2026-07-04T16:14:22.260231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9e67968cfcf961968914c62efdbacc78611e0e548a46da3cfacef46fb2071e

Aliases

arxiv: hep-ph/9907254 · arxiv_version: hep-ph/9907254v3 · doi: 10.48550/arxiv.hep-ph/9907254 · pith_short_12: FKPGPFUM7T4W · pith_short_16: FKPGPFUM7T4WDFUJ · pith_short_8: FKPGPFUM

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/FKPGPFUM7T4WDFUJCTDC57N2ZR \
  | 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: 2a9e67968cfcf961968914c62efdbacc78611e0e548a46da3cfacef46fb2071e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf8537fce0cd68b6c1b6dc995b41bfd828a0c681d6606b5fc416f5dc38b2be5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-06T16:08:09Z",
    "title_canon_sha256": "1e2ac9a5935ddc342a40e6827a4cfad07244ccffb937644041fe3358c3436d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907254",
    "kind": "arxiv",
    "version": 3
  }
}