Pith Number

pith:Q5GR3TUB

pith:2011:Q5GR3TUBYJAAL3UM3S7TG2G5VD

not attested not anchored not stored refs pending

Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation

Kimmo Kainulainen, Matti Herranen, Pyry Matti Rahkila

arxiv:1108.2371 v2 · 2011-08-11 · 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{Q5GR3TUBYJAAL3UM3S7TG2G5VD}

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	2026-05-18T02:00:55.313525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874d1dce81c24005ee8cdcbf3368dda8fe919f5ff8a500462b230adf1d9d81cb

Aliases

arxiv: 1108.2371 · arxiv_version: 1108.2371v2 · doi: 10.48550/arxiv.1108.2371 · pith_short_12: Q5GR3TUBYJAA · pith_short_16: Q5GR3TUBYJAAL3UM · pith_short_8: Q5GR3TUB

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/Q5GR3TUBYJAAL3UM3S7TG2G5VD \
  | 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: 874d1dce81c24005ee8cdcbf3368dda8fe919f5ff8a500462b230adf1d9d81cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91c14dfaeba037968efd7643d53766d635125d64d2ca3768772966583cec99e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-11T10:54:41Z",
    "title_canon_sha256": "41acffa69dc8066811c2fba3a60860a82471abcea69430d21eb85d38c01ca997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2371",
    "kind": "arxiv",
    "version": 2
  }
}