Pith Number

pith:LMYB7JIF

pith:2013:LMYB7JIFLMUNMM4ATZAI7UQMYX

not attested not anchored not stored refs pending

All-order renormalization of propagator matrix for fermionic system with flavor mixing

Bernd A. Kniehl

arxiv:1308.3140 v2 · 2013-08-14 · hep-ph · hep-lat · 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{LMYB7JIFLMUNMM4ATZAI7UQMYX}

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	2026-05-18T02:47:16.065654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b301fa5055b28d633809e408fd20cc5d75e39db662b28027005427c49df012c

Aliases

arxiv: 1308.3140 · arxiv_version: 1308.3140v2 · doi: 10.48550/arxiv.1308.3140 · pith_short_12: LMYB7JIFLMUN · pith_short_16: LMYB7JIFLMUNMM4A · pith_short_8: LMYB7JIF

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/LMYB7JIFLMUNMM4ATZAI7UQMYX \
  | 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: 5b301fa5055b28d633809e408fd20cc5d75e39db662b28027005427c49df012c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc7c000b11a926740f0e45ae6101ee905dc8509db447a3f68c307bd8fddb41b",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-08-14T14:35:22Z",
    "title_canon_sha256": "e1edc8f89ce082542d7992f2a9195f56ff8624e657947bfe28480d3ae54bf4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3140",
    "kind": "arxiv",
    "version": 2
  }
}