Pith Number

pith:GFBWS6QN

pith:2012:GFBWS6QN2MOBSSBYACXUP6QA5N

not attested not anchored not stored refs pending

Renormalization in general theories with inter-generation mixing

Alberto Sirlin, Bernd A. Kniehl

arxiv:1201.4333 v1 · 2012-01-20 · 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{GFBWS6QN2MOBSSBYACXUP6QA5N}

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	2026-05-18T01:58:44.276708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3143697a0dd31c19483800af47fa00eb7f0d5c91ab767ea2cb7b3364213c0f58

Aliases

arxiv: 1201.4333 · arxiv_version: 1201.4333v1 · doi: 10.48550/arxiv.1201.4333 · pith_short_12: GFBWS6QN2MOB · pith_short_16: GFBWS6QN2MOBSSBY · pith_short_8: GFBWS6QN

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/GFBWS6QN2MOBSSBYACXUP6QA5N \
  | 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: 3143697a0dd31c19483800af47fa00eb7f0d5c91ab767ea2cb7b3364213c0f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbb7b2e6412ba77bd6c62ceaeb37283c80f99fcae31d812dcbfa553cc51b364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-01-20T16:31:15Z",
    "title_canon_sha256": "df9012724e193592e4fedd357981910b2fe095f2e21eeab3b981301ef8e9cc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4333",
    "kind": "arxiv",
    "version": 1
  }
}